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Research
- I am deputy speaker of CRC 1173 "wave phenomena -- analysis and numerics" and I am involved with the following projects:
A6 Time-periodic solutions for nonlinear Maxwell equations
A10 Standing and moving pulses in periodic media
- I am speaker of the area of methods "Mathematical modeling, differential equations, numerics, simulation" of the KIT-Center MathSEE "Mathematics in Sciences, Engineering, and Economics".
- My group (postdocs, doctoral researchers, master students)
- Together with my colleagues of the research focus "Partial Differential Equations" we organize three times per semester the Karlsruhe PDE-Seminar
- Jointly with Thomas Bartsch (Giessen), Bernd Kawohl (Cologne), Michael Plum (Karlsruhe), Guido Sweers (Cologne) and Tobias Weth (Frankfurt) we are organizing one per year Nonlinear PDE days
My research interests are in the area of:
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Publications
Publications Google scholar profile
Preprints, submitted papers:
1. pinning in the extended Lugiato-Lefever equation. Joint work with L. Bengel (KIT), D. Pelinovsky (MacMaster).
2. breathers and rogue waves for semilinear curl-curl wave equations. Joint work with M. Plum (KIT).
3. Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph. Joint work with D. Maier (KIT) and G. Schneider (U Stuttgart).
4. global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping. Joint work with E. Gasmi (KIT), T. Jahnke (KIT), and M. Kirn (KIT).
5. bandwidth and conversion-efficiency analysis of Kerr soliton combs in dual-pumped resonators with anomalous dispersion. Joint work with E. Gasmi (KIT), H. Peng (KIT), and C. Koos (KIT).
6. wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary conditions. Joint work with S. Ohrem (KIT) and R. Schnaubelt (KIT).
Publications and papers:
56 Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media. Joint work with J. Mederski (Polish Academy of Sciences). NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 2, Paper No. 22
55 The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption. Joint work with J. Gärtner (KIT) and R. Mandel (KIT). J. Dynam. Differential Equations 34 (2022), no. 3, 2201-2227.
54. traveling waves for a quasilinear wave equation. Joint work with G. Bruell (KIT) and P. Idzik (KIT). Nonlinear Anal. 225 (2022), Paper No. 113115
53 Breather solutions for a quasi-linear (1+1)-dimensional wave equation. Joint work with S. Kohler (KIT). Stud. Appl. Math. 148 (2022), no. 2, 689-714.
52. analysis of Kerr comb generation in silicon microresonators under the influence of two-photon absorption and fast free-carrier dynamics Joint work with P. Trocha (KIT), J. Gärtner (KIT), P. Marin-Palomo (KIT), W. Freude (KIT) and C. Koos (KIT). Phys. Rev. A 103, 063515, 2021.
51. equilibrium measures and equilibrium potentials in the Born-Infeld model. Joint work with D. Bonnheure (Univ. Bruxelles), P. d'Avenia (Poly. Bari), and A. Pomponio (Poly. Bari). J. Math. Pures Appl. (9) 139 (2020), 35-62.
50. soliton solutions for the Lugiato-Lefever equation by analytical and numerical continuation methods. Joint work with J. Gärtner (KIT). In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 179-195, October 2020. Birkhäuser Basel.
49. bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Joint work with J. Gärtner (KIT), T. Jahnke (KIT), C. Koos (KIT), R. Mandel (KIT), and P. Trocha (KIT). Phys. Rev. A 100, 033819, 2019.
48. real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Joint work with A. Hirsch (KIT). Nonlinearity 32 (2019), no. 4, 1408-1439.
47. symmetry properties for solutions of higher-order elliptic boundary value problems. Geometry of PDEs and related problems, 121-145, Lecture Notes in Math, 2220, Fond. CIME/CIME Found. Subser., Springer, Cham, 2018.
46. existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients. Joint work with A. Hirsch (KIT). Z. Anal. Applic. 36 (2017), no. 4, 419-435.
45. a priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation. Joint work with R. Mandel (KIT). SIAM J. Appl. Math. 77 (2017), no. 1, 315-345.
44. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients. Joint work with M.Plum (KIT). J. Elliptic Parabol. Equ. 2 (2016), no. 1-2, 371-387.
43. ground states of a nonlinear curl-curl problem in cylindrically symmetric media. Joint work with Th. Bartsch (Univ. Giessen), T. Dohnal (Univ. Dortmund), M. Plum (KIT). NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 5, Art. 52, 34 pp.
42. mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems. Joint work with P.J. McKenna (Univ. Connecticut) and A. Verbitsky (KIT). J. Math. Anal. Appl. 419 (2014), no. 1, 496-524.
41. distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay. Joint work with R. Mandel (KIT). Z. Anal. Applic. 32 (2013), no. 1, 55-82.
40. interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. Joint work with T. Dohnal (Univ. Dortmund), K. Nagatou (KIT) and M. Plum (KIT). J. Math. Anal. Appl. 407 (2013), no. 2, 425-435.
39. symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces. Joint work with G. Herzog (KIT). Math. Ann. 352 (2012), 99-112.
38. surface gap soliton ground states for the nonlinear Schrödinger equation. Joint work with T. Dohnal (Univ. Dortmund) and M. Plum (KIT). Comm. Math. Phys. 308 (2011), 511-542.
37 In memoriam Wolfgang Walter (1927-2010). (German) Jahresber. Dtsch. Math. 113 (2011), no. 2, 57-79.
36. large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. Joint work with C. Bandle (Basel) and V. Moroz (Swansea). Around the research of Vladimir Maz'ya. II, 1-22, Int. Math. ser. (N.Y.), 12, Springer, New York, 2010.
35. existence of solutions to nonlinear, subcritical higher-order elliptic Dirichlet problems. Joint work with T. Weth (Univ. Giessen). J. Differential Equations 248 (2010), No. 7, 1866-1878.
34. localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation. Joint work with T. Dohnal and M. Plum (Univ. Karlsruhe). SIAM J. Math. Anal., Volume 41, Issue 5 (2009), 1967-1993.
33. characterization of balls by Riesz-potentials. Ann. Mat. Pura Appl. 188 (2009), 235-245.
32. very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners. Joint work with J. Horák (Univ. zu Köln) and P.J. McKenna (Univ. Connecticut). J. Math. Anal. Appl. 352 (2009), 496-514.
31. A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems. Joint work with T. Weth (Univ. Giessen). Math. Z. 261 (2009), 805-827.
30. the Paneitz equation in hyperbolic space. Joint work with H.-Ch. Grunau (Univ. Magdeburg) and M. Ould Ahmedou
(Univ. Tübingen). Ann. Inst. H. Poincaré (C) Anal. Non Linéaire . 25 (2008), 847-864.
29. very weak solutions to elliptic problems with nonlinear Neumann boundary conditions. Joint work with P. Quittner (Univ. Bratislava). Calc. Var. Partial Differential Equations 32 (2008), 429-452.
28. ``Boundary blowup'' type sub-solutions to semilinear elliptic equations with Hardy potential. Joint work with C. Bandle (Univ. Basel) and V. Moroz (Univ. Bristol). J. London Math. Soc. 77 (2008), 503-523.
27. positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. Joint work with C. Bandle (Univ. Basel) and J. von Below (Univ. Littoral Côte d'Opal). J. Eur. Math. Soc. 10 (2008), 73-104.
26. Gidas-Ni-Nirenberg results for finite difference equations: Estimates of approximate symmetry. Joint work with P.J. McKenna (Univ. of Connecticut). J. Math. Anal. Appl. 3354 (2007), 206-222.
25. a priori bounds for semilinear elliptic equations and a new class of critical exponents for Lipschitz domains. Joint work with P.J. McKenna (Univ. Connecticut). J. Funct. Anal. 244 (2007), 220-246.
24. parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Joint work with C. Bandle (Univ. Basel) and J. von Below (Univ. Littoral Côte d'Opale). Rend. Lincei Mat. Appl. 17 (2006), 35-67.
23. global solution branches for p-Laplacian boundary value problems. Joint work with J. Fleckinger (Univ. Toulouse). Nonlinear Analysis T.M.A. 62 (2005), 53-70.
22. eigenvalues of the radially symmetric p-Laplacian in IR^n. Joint work with B.M. Brown (Univ. Cardiff). J. London Math. Soc. 69 (2004), 657-675.
21. Analytical and numerical results for the Fucik spectrum of the Laplacian. Joint work with J. Horák (Univ. Basel). J. Comput. Appl. Math. 161 (2003), 313-338.
20. uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains: Part (II). J. Math. Anal. Appl. 287 (2003), 75-89.
19. uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains: Part (I). J. Math. Anal. Appl. 287 (2003), 61-74.
18. sharp parameter ranges in the uniform anti-maximum principle for second-order ordinary differential operators. Z. angew. Math. Phys. 54 (2003), 822-838.
17. positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition. Joint work with M. Chlebik and M. Fila (Univ. Bratislava). NoDeA 10 (2003), 329-346.
16. radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry. Joint work with P.J. McKenna (Univ. Connecticut). Electronic J. Diff. Eqns. 2003 (2003), No. 37, 1-13.
15. computing eigenvalues and Fucik-spectrum of the radially-symmetric p-Laplacian. Joint work with M. Brown (Univ. Cardiff). J. Comput. Appl. Math. 148 (2002), 183-211.
14. existence and starshapedness for the Lane-Emden equation. Joint work with A. Greco (Univ. Cagliari). Applicable Analysis 78 (2001), 21-32.
13. sign-changing solutions to singular second-order boundary value problems. Joint work with P.J. McKenna (Univ. Connecticut). Advances in Differential Equations 6 (2001), 441-460.
12. electrostatic characterization of spheres. Joint work with O. Mendez (Univ. Missouri). Forum Mathematicum 12 (2000), 223-245.
11. Non-existence results for semilinear cooperative elliptic systems via moving spheres. Joint work with Henghui Zou (Univ. Alabama). J. Differential Equations 161 (2000), 219-243.
10. existence and uniqueness theorems for singular anisotropic quasilinear elliptic boundary value problems. Joint work with S. Hill and K.S. Moore (Univ. of Connecticut). Proceedings Amer. Math. Soc. 128 (2000), 1673-1683.
9. approximate radial symmetry for overdetermined boundary value problems. Joint work with A. Aftalion and J. Busca (Ecole Norm. Sup. Paris). Advances in Differential Equations 4 (1999), 907-932.
8. Sturm-Liouville type problems for the p-Laplacian under asymptotic non-resonance conditions. Joint work with W. Walter (Univ. Karlsruhe). J. Differential Equations 156 (1999), 50-70.
7. existence of two boundary blow-up solutions for semilinear elliptic equations. Joint work with A. Aftalion (Ecole Norm. Sup. Paris). J. Differential Equations 141 (1997), 400-421.
6. radial solutions of equations and inequalities involving the p-Laplacian. Joint work with W. Walter (Univ. Karlsruhe). J. Inequal. & Appl. 1 (1997), 47-71.
5. radial symmetry for an electrostatic and a capillarity problem. ZAMM 77 (1997) S2, S653-S654.
4. uniqueness for degenerate elliptic equations via Serrin's sweeping principle. Intern. Series of Num. Math. 123 (1997), 375-387.
3. symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up. Joint work with
W. Walter (Univ. Karlsruhe), P.J. McKenna (Univ. Connecticut). Nonlinear Analysis T.M.A. 28 (1997), 1213-1225.
2. radial symmetry for elliptic boundary value problems on exterior domains. Arch. Rational Mech. Anal. 137 (1997), 381-394.
1. radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains. Z. für Analysis und ihre Anwendungen 15 (1996), 619-635.
Monographs and contributions to books:
3. symmetry properties for solutions of higher-order elliptic boundary value problems. Geometry of PDEs and related problems, 121-145, Lecture Notes in Math, 2220, Fond. CIME/CIME Found. Subser., Springer, Cham, 2018.
2. uniqueness theorems for variational problems by the method of transformation groups. Springer Lecture Notes in Mathematics, Vol. 1841, 152 pp., ISBN: 3-540-21839-4, 2004.
1. solutions of quasilinear second order elliptic boundary value problems via degree theory. Joint work with C. Bandle (Basel). pp. 1-70, Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 1, Elsevier, North Holland, ISBN: 0-444-51126-1, 2004.
Contributions to conference proceedings:
1. radial symmetry by moving planes for semilinear elliptic boundary value problems on annuli and other non-convex domains. Progress in Partial Differential Equations: Elliptic and Parabolic Problems, Ed. C. Bandle et al, Pitman Res. Notes 325 (1995), 164-182.
2. supercritical variational problems with unique critical points. Proceedings of the 4th European Conference on Elliptic and Parabolic Problems, Rolduc, June 2001, World Scientific (2002), 253-262.
3. a linear parabolic problem with non-dissipative dynamical boundary conditions. Joint work with C. Bandle (Univ. Basel). Proceedings of the Swiss-Japanese Seminar on Elliptic and Parabolic Problems, Zurich, 2004. Eds. M. Chipot, H. Ninomiya, World Scientific, 2005.
Theses:
Master thesis:
Variational methods in bifurcation theory for non-Fredholm problems (1992). Advisor: Prof. J. Toland (Univ. of Bath)
Diploma thesis:
Symmetry of solutions of semilinear elliptic differential equations (1993). Advisor: Prof. Dr. P. Volkmann (Univ. of Karlsruhe)
Doctoral thesis:
Large solutions and overdetermined boundary value problems for quasilinear elliptic differential
equations (1996). Referees: Prof. Dr. W. Walter (Univ. Karlsruhe), Prof. Dr. C. Bandle (Univ. Basel)
Habilitation thesis:
Uniqueness theorems for variational problems by the method of transformation groups (2002),
University of Basel.
Lectures (selection)
June 9, 2021, INdAM Workshop Nonlinear Phenomena: between ODEs and PDEs, Rome
Time-periodic solutions of semilinear wave equations
September 20, 2018, 6th GAMM Workshop on Analysis of PDEs, Stuttgart
Real-valued time-periodic localized standing waves for a class of nonlinear wave equations
May 17, 2017, WAVES, Minneapolis
Localized time-periodic solutions of nonlinear wave equations
May 22, 2017, International Conference on Elliptic and Parabolic Problems, Gaeta
Localized time-periodic solutions of nonlinear wave equations
December 2, 2016, Recent progress in PDEs, Marseille
Localized time-periodic solutions of nonlinear wave equations
June 23, 2016, PDEs at the Grand Paradis, Cogne, Italy
A variational approach to real-valued breathers for a class of cubic nonlinear wave equations
September 14, 2015, VII Symposium on Nonlinear Analysis, Torun, Poland
Standing waves for nonlinear curl-curl wave equations
July 9, 2014, AIMS Madrid
Ground states of a nonlinear curl-curl problem
November 7, 2011, Workshop on Nonlinear Differential Equations, Pienza
The Paneitz equation in hyperbolic space
June 28, 2010, Graduate School Seminar
Surface Gap Solitons
My research group
In addition to myself, the research group consists of
PhD students (current)
MSc. Lukas Bengel (since 01/2022)
MSc. Julia Henninger (since 10/2021)
MSc. Sebastian Ohrem (since 10/2020)
Completed doctorates
Dr. Elias Gasmi (doctorate 16.11.2022)
Dr. Simon Kohler (Doctorate 23.06.2021)
Variational techniques for breathers in nonlinear wave equations
Dr. Janina Gärtner (PhD 20.02.2019)
Continuation and Bifurcation of Frequency Combs Modeled by the Lugiato-Lefever Equation
Dr. Carlos Hauser (Doctorate 20.02.2019)
Dr. Piotr Idzik (Doctorate 20.09.2017)
Dr. Andreas Hirsch (PhD 07.06.2017)
Mono- and polychromatic ground states for semilinear curl-curl wave equations
Dr. Anton Verbitsky (Doctorate 25.06.2014)
Dr. Hans-Jürgen Freisinger (Doctorate 26.06.2013)
Interface problems in the nonlinear Schrödinger equation
Dr. Rainer Mandel (PhD 23.01.2013)
Ground states, bifurcations and singular solutions of nonlinear Schrödinger systems
Completed diploma/master's/state examination theses
29) Sofian Rajab (graduated 05/22)
"Nonlinear vibrations for an elastic beam"
28) Lukas Bengel (graduated 11/2021)
"A mean field game to investigate contact behavior during the Covid-19 pandemic"
27) Julia Henninger (graduation 08/2021)
"Time-periodic solutions for a semilinear wave equation by a direct and a dual approach"
26) Sebastian Ohrem (graduation 07/2022)
"A waveguide problem for the fractional Laplace operator"
25) Elias Gasmi (graduation 04/2018)
"Band structures in periodic fractional Schrödinger operators and applications to nonlinear ground states"
24) Julian Knobloch (graduation 02/2018)
"Solutions for k-Hessian equations with boundary blow-up"
23) Julian Pommerening (graduation 11/2017)
"Ground state solutions of the nonlinear fractional Schrödinger equation"
22) Anfata Merepeza (graduation 10/2017)
"Explicit Solutions of the Nonlinear Schrödinger Equation"
21) Simon Kohler (graduation 09/2017)
"A periodic, third-order Schrödinger operator with δ-Potential and a non-linear existence result for ground states"
20) Jörn Brett (graduation 06/2017)
"Standing waves in a nonlinear suspension bridge equation"
19) Dominik Scheider (graduation 12/2016)
"Ground States for the Nonlinear Schrödinger Equation with Delta Potentials"
18) Nicole Vöhringer (graduated 06/2014)
"Symmetry of solutions for systems of semilinear elliptic boundary value problems of higher order"
17) Andreas Hirsch (degree 04/2013)
"Ground states of the NLS and the curl-curl equation"
16) Kathrin Wolpensinger (degree 03/2014)
"Existence of time-periodic solutions of a semilinear wave equation"
15) Georgi Mitzov (degree 02/2014)
"Nonlinear curl-curl problem"
14) Janina Dürrschnabel (now Gärtner) (graduated 09/2013)
"Existence of solutions of variational problems using the example of the brachistochrone"
13) Karin Meyer (degree 09/2013)
"A characterization of spheres in hyperbolic space"
12) Carlos Hauser (graduation 07/2013)
"Existence of multiple solutions of semilinear elliptic boundary value problems"
11) Marc Teschner (degree 02/2013)
"Examples of interface models for the 1-dimensional, linear and nonlinear Schrödinger equation"
10) Max Grüner (graduated 10/2012)
"Turing instability and pattern formation in reaction-diffusion equations"
9) Christian Kirschfeld (degree 03/2012)
"Traveling waves for a partial differential equation of fourth order"
8) Jelena Patarcic (graduated 11/2011)
"Concavity properties of solutions of a class of singular nonlinear elliptic boundary value problems"
7) Silvana Avramska (graduation 11/2011)
"Ground state solution of the generalized Schrödinger-Poisson system"
6) Benjamin Vosseler (graduation 04/2011)
"Existence and symmetry breaking of ground states in the nonlinear Schrödinger equation"
5) Isabelle Lauckner (degree 06/2010)
"A two-dimensional model for the deformation of an elastic band by circular weights"
4) Marcel Schrumpf (graduation 02/2010)
"Discrete Steiner symmetrization and solutions of the discrete nonlinear Schrödinger equation"
3) Abu Nishanth Gudapati (graduated 08/2009)
"Applications of the Moser-Trudinger inequality in geometry, physics and biology"
2) Hans-Jürgen Freisinger (degree 07/2009)
"Solutions of the nonlinear Schrödinger equation with periodic coefficients"
1) Rainer Mandel (graduated 12/2008)
"Symmetry groups of classes of completely nonlinear differential equations and pseudodifferential equations"
Karlsruhe PDE Seminar
In the Karlsruhe PDE seminar external experts present results from analysis and numerics of partial differential equations. The seminar takes place about three times per semester as a special version of the CRC seminar. Since summer term 2016, the canonical time and location of the PDE seminar is
Thursday, 2:00-3:00 p.m., in SR 1.067 in the Math building 20.30.
Summer semester 2025:
Thomas Bartsch (Univ. of Giessen)
Normalized solutions to nonlinear Schrödinger equations
July 24, 2025
2 p.m., SR 1.067
Winter semester 2024/25:
Serge Nicaise (Univ. Polytechnique Hauts-de-France)
Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics
November 21, 2024
2 p.m., SR 1.067
Winter semester 2023/24:
Peter Lewintan (KIT)
Grain Inequalities
January 18, 2024
2 p.m., SR 1.067
Summer semester 2023:
Angkana Rüland (Univ. Bonn)
On the fractional Calderon problem
May 4, 2023
2 p.m., SR 1.067 and via Zoom
Winter semester 2022/23:
Sebastian Herr (Univ. Bielefeld)
Global wellposedness of the Zakharov System below the ground state
February 9, 2023
2 p.m., SR 1.067 and via Zoom
Summer semester 2022:
Maria López-Fernández (Univ. de Málaga)
Global in time inversion of Laplace transforms associated to evolution problems
September 15, 2022
2 p.m., SR 1.067 and via Zoom
Winter semester 2021/22:
Luca Dede (Politecnico di Milano)
Multiphysics and multiscale models for the cardiac function: towards the numerical simulation of the whole heart
February 3, 2022
2 p.m., Online via Zoom
Dmitry Pelinovsky (McMaster University)
Domain walls in harmonic potentials
January 20, 2022
2 p.m., Hybrid SR 1.067/Zoom
Summer semester 2021:
Gianluca Crippa (University of Basel)
On the local limit for nonlocal conservation laws
April 29, 2021
2 p.m., Online via Zoom
Diogo Oliveira e Silva (University of Birmingham)
Global maximizers for spherical restriction
April 8, 2021
2 p.m., Online via Zoom
Winter semester 2020/2021:
Christian J. Cyron (Technical University of Hamburg)
Machine Learning & Computational Mechanics: the natural next step
February 11, 2021
2 p.m., Online via Zoom
Winter semester 2019/2020:
Axel Voigt (Technical University of Dresden)
Toward nonlinear elasticity on mesoscopic length scales
October 31, 2019
2 p.m., SR 1.067, Building 20.30
Summer semester 2019:
Siddhartha Mishra (ETH Zurich)
Uncertainty quantification for hyperbolic systems of conservation laws
June 6, 2019
2 p.m., SR 1.067, Building 20.30
Eskil Hansen (University of Lund)
Domain decomposition and nonlinear parabolic equations - a time integrator approach
May 23, 2019
2 p.m., SR 1.067, Building 20.30
Patrick Dondl (University of Freiburg)
Optimization of additively manufactured polymer scaffolds for bone tissue engineering
May 9, 2019
2 p.m., SR 1.067, Building 20.30
Winter semester 2018/19:
Hatem Zaag (University Paris 13, France)
Blow-up for the Complex Ginzburg-Landau in some critical case
October 25th, 2018
2 p.m., SR 1.067, Building 20.30
Martin J. Gander (University of Geneva, Switzerland)
Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
October 18th, 2018
2 p.m., SR 1.067, Building 20.30
Winter semester 2017/18:
Claus-Dieter Munz (University of Stuttgart)
Direct aeroacoustic noise simulations by a high order discontinuous Galerkin method
January 11th, 2018
2 p.m., SR 1.067, Building 20.30
Shi Jin (University of Wisconsin-Madison, USA and Shanghai Jiao Tong University, China)
Semiclassical computational methods for quantum dynamics with band-crossing and uncertainty
December 7th, 2017
2 p.m., SR 1.067, Building 20.30
Summer semester 2017:
Piero D'Ancona (Sapienza Università di Roma)
On the nonlinear Dirac equation with an electromagnetic potential
June 29th, 2017
2 p.m., SR 1.067, Building 20.30
Winter semester 2016/17:
Mechthild Thalhammer (University of Innsbruck)
Time integration methods for non-autonomous evolution equations
February 9th, 2017
2 p.m., SR 1.067, Building 20.30
Mario Ohlberger (WWU Münster)
Model Reduction for Multiscale Lithium-Ion Battery Simulation
2nd February 2017
2 p.m., SR 1.067, Building 20.30
Michael Röckner (University of Bielefeld)
Pathwise uniqueness for stochastic differential equations on Hilbert spaces
January 26th, 2017
2 p.m., SR 1.067, Building 20.30
Summer semester 2016:
Zdzislaw Brzezniak (University of York)
Finite element methods for the stochastic Landau-Lifschitz-Gilbert equation
July 7th, 2016
2 p.m., SR 1.067, Building 20.30
Dario Bambusi (Università degli studi di Milano)
Dynamics of a soliton in an external potential
June 30th, 2016
2:30 p.m., SR. 1.067, Building 20.30
Todd Quinto (Tufts University)
A paradigm to classify added artifacts in limited data tomography
June 2nd, 2016
2 p.m., SR 1.067, Building 20.30
Winter semester 2015/16:
Martin Hanke-Bourgeois (JGU Mainz)
Small volume asymptotics for elliptic equations and their use in impedance tomography
February 8th, 2016
2 p.m., SR 1.067, Building 20.30
Michael Loss (Georgia Institute of Technology)
Optimal functional inequalities and flows
1st February 2016
2 p.m., SR 1.067, Building 20.30
Herbert Egger (TU Darmstadt)
Variational Methods for Radiative Transfer
January 18th, 2016
2 p.m., SR 1.067, Building 20.30
Summer semester 2015:
Reinhard Racke (University of Konstanz)
Thermoviscoelastic Transmission Problems: Exponential or Polynomial Stability?
July 2, 2015 (Thursday!)
5:30 p.m., SR 1.067, Building 20.30
Francisco Sayas (University of Delaware)
Interfacing FEM and BEM for transient acoustic equations
June 15th, 2015
2 p.m., SR 1.067, Building 20.30
Enrique Zuazua (BCAM, Spain)
Waves in non smooth media
4th May 2015
2 p.m., SR 1.067, Building 20.30
Winter semester 2014/15:
Harry Yserentant (TU Berlin)
The approximation of solutions to the Schrödinger equation by anisotropic Gauss functions
February 12th, 2015
5:30 p.m., room 1C-03, Allianz-Building 05.20
Joachim Krieger (EPFL, Switzerland) - Lecture has been canceled!
January 22nd, 2015
5:30 p.m., room 1C-03, Allianz Building 05.20
Helmut Harbrecht (University of Basel, Switzerland)
Improved trial methods for a class of generalized Bernoulli problems
20th November 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Summer semester 2014:
Mariana Haragus (Besançon, France)
Existence of Defects in Swift-Hohenberg Equations
July 17th, 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Michael Struwe (Zurich, Switzerland)
The supercritical Lane-Emden equation and its gradient flow
June 5th, 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Stéphane Lanteri (Sophia Antipolis, France)
Some recent developments of a non-dissipative DGTD method for time-domain electromagnetics
22nd May 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Winter semester 2013/14:
C.Eugene Wayne (Boston University)
Breather solutions in nonlinear wave equations with spatially periodic coefficients
18th February 2014
10:00 a.m., room 1C-04, Allianz-Building 05.20
Stéphane Lanteri (Sophia Antipolis, France)- Talk was canceled!
Some recent developments of a non-dissipative DGTD method for time-domain electromagnetics
January 30th, 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Ralf Hiptmair (ETH Zurich, Switzerland)
Plane Wave Discontinuous Galerkin Methods
January 16th, 2014
5:30 p.m., room 1C-03, Allianz-Building 05.20
Serge Nicaise (Valenciennes)
Polynomial decay rate for a wave equation with general acoustic boundary feedback laws
November 7th, 2013
5:30 p.m., room 1C-03, Allianz Building 05.20
Summer semester 2013:
Stefan Sauter (Zurich, Switzerland)
Fast Numerical Solution of Hyperbolic Integral Equations in Exterior Domains
July 4th, 2013
5:30 p.m., room 1C-03, Allianz-Building 05.20
Thierry Cazenave (Paris)
Finite-time blowup for a family of complex Ginzburg-Landau equations
June 6th, 2013
5:30 p.m., room 1C-03, Allianz Building 05.20
Winter semester 2012/13:
László Székelyhidi (Leipzig)
Isometric embeddings and turbulent energy cascades
March 7th, 2013
5:30 p.m., room 1C-03, Allianz-Building 05.20
Reinhold Schneider (Berlin)
Low rank approximation in recent tensor formats
January 31st, 2013
5:30 p.m., room 1C-03, Allianz-Building 05.20
Felix Otto (Leipzig)
Pattern formation and Partial Differential Equations
January 9th, 2013
5:30 p.m., room 1C-04, Allianz-Building 05.20
Houssem Haddar (Palaiseau)
Direct and Inverse scattering from obstacles with generalized boundary conditions
November 15th, 2012
5:30 p.m., room 1C-03, Allianz-Building 05.20
Summer semester 2012:
Thomas Bohlen (Karlsruhe)
Finite-Difference Seismic Modeling and Waveform Inversion
July 5th, 2012
5:30 p.m., room 1C-03, Allianz-Building 05.20
Eric Sonnendrücker (Strasbourg)
Mathematical modeling and numerical simulation for magnetic fusion
June 21st, 2012
5:30 p.m., room 1C-03, Allianz-Building 05.20
Sören Bartels (Freiburg)
Finite element approximation of large bending isometries
10th May 2012
5:30 p.m., room 1C-03, Allianz-Building 05.20
Winter semester 2011/12:
Günter Leugering (Erlangen)
Optimization and control of partial differential equations on networks
February 9th, 2012
5:30 p.m., room 1C-04, Allianz-Building 05.20
Nicolas Burq (Paris)
Probabilistic well-posedness for the cubic wave equation
December 1st, 2011
5:30 p.m., room 1C-04, Allianz Building 05.20
Maria Specovius-Neugebauer (Kassel)
How do cracks grow?
November 3rd, 2011
5:30 p.m., New Lecture Hall, Building 20.40
Summer semester 2011:
Andreas Prohl (Tübingen)
Numerical Analysis of the stochastic incompressible Navier-Stokes equations
July 7th, 2011
5:30 p.m., room 1C-03, Allianz-Building 05.20
Michael Ruzicka (Freiburg)
Analysis of non-Newtonian fluid flow
June 9th, 2011
5:30 p.m., room 1C-03, Allianz-Building 05.20
Timo Weidl (Stuttgart)
Sharp Semiclassical Estimates - What has the last decade brought?
12th May 2011
5:30 p.m., room 1C-03, Allianz-Building 05.20
Winter semester 2010/11:
Jianxin Zhou (Texas A&M)
On numerically solving nonlinear eigenproblems
January 18th, 2011
5:30 p.m., New Lecture Hall Building 20.40
Christian Lubich (Tübingen)
Computing semiclassical quantum dynamics with Hagedorn wavepackets
December 16th, 2010
4:00-5:00 p.m., room 1C-04, Allianz-Building 5.20
Edriss Titi (UC Irvine, USA)
On the Question of Global Regularity for Three-dimensional Navier-Stokes Equations and Relevant Geophysical Models
November 26th, 2010
2:00-3:00 p.m., New Lecture Hall, Building 20.40
Summer semester 2010:
Herbert Koch (Bonn)
Stability and scattering for the quartic KdV equation
July 8th, 2010
5:30 p.m., room 1C-03, Allianz-Building 05.20
Thomas Bartsch (Giessen)
Bifurcation of positive solutions for a system of nonlinear Schrödinger equations
June 10th, 2010
5:30 p.m., room 1C-03, Allianz-Building 05.20
Alexander Ostermann (Innsbruck)
Numerical analysis of operator splitting methods
14th May 2010
4:00 p.m., room 1C-04, Allianz-Building 05.20
Nonlinear PDE Days
Frankfurt - Giessen - Karlsruhe - Cologne
Previous PDE days
August 22-23, 2018 at Frankfurt
Local and Nonlocal Problems in Geometry and Mathematical Physics
October 13-14, 2016 at Giessen
Junior Nonlinear PDE Days
July 14-15, 2015 at KIT
Nonlinear PDE Days
June 12-13, 2014 at Cologne
PDE Days
July 4-5, 2013 at Giessen
Workshop on Geometric PDEs
March 6-7, 2013 at Frankfurt
Nonlinear Evolution Equations
July 17-18, 2012 at KIT
Variational Methods in Mathematical Physics
October 4-5, 2011 at Cologne
Nonlinear PDE days in Cologne
June 16-17, 2011 at Giessen
Concentration phenomena in nonlinear PDE's
January 20-21, 2011 at KIT
Computational aspects and computer-assisted proofs in nonlinear PDEs
July 1-2, 2010 at Frankfurt
Analytical and computational methods in geometric optimization problems
January 21-22, 2010 at Giessen
Liouville theorems and applications
June 25-26, 2009 at Karlsruhe
Nonlinear Schrödinger Equations
DMMM winter school "Mathematics for Engineering Applications"
Slides of January 27,2020 -- 1st update, bug fixed
Notes on bifurcation theory
CIME summer school 2017
Geometry of PDE's and related problems
The contributions to this summer school were published.
AIMS Springschool 2015
Lecture notes: final version 4 of February 27th, 2015.
ACAMiMM Summer School 2013 for students
Erasmus Lifelong Learning Program: Intensive Program
September 1-15 in HAJDUSZOBOSZLO/Hungary: ACAMiMM
ACAMiMM summer school 2011 and 2012 for students
In 2011 the summer school took place in Bydgoszcz/Poland from September 4-18.
In 2012 the summer school took place in Freudenstadt from September 9-23.
At the summer school in Bydgoszcz, Professor Roman Ger spoke about convexity as follows:
"Convexity is a beautiful lady -- and I am a silent admirer of her".
In full accordance with his statement, I drew the following sketch on the black board at the beginning of my lecture series on "Calculus of Variations and Applications to Elasticity":
"Convexity is truly a beautiful lady -- but do you also know her beautiful sisters?"
It found its way into Macierzator 40 published by the mathematics students at the Silesian University in Katowice, whom I cordially thank for that.