apl. Prof. Dr. Peer Kunstmann

  • Englerstraße 2
    76131 Karlsruhe

Aktuelle Lehrveranstaltungen

Titel Links Typ
Wintersemester 2025/26
Interpolation Spaces Vorlesung (V)
Tutorial for 018020 (Interpolation Spaces) Übung (Ü)
Internetseminar für Evolutionsgleichungen Vorlesung (V)
Proseminar (Analysis) Proseminar (PS)
Höhere Mathematik III für die Fachrichtung Physik Vorlesung (V)
Übungen zu 0130600 (Höhere Mathematik III für die Fachrichtung Physik) Übung (Ü)
Sommersemester 2025
Höhere Mathematik II für die Fachrichtung Physik Vorlesung (V)
Übungen zu 0180500 (Höhere Mathematik II für Physik) Übung (Ü)
Wintersemester 2024/25
Internetseminar für Evolutionsgleichungen Vorlesung (V)
Höhere Mathematik I für die Fachrichtung Physik Vorlesung (V)
Übungen zu 0130200 (Höhere Mathematik I für Physik) Übung (Ü)

Publikationsliste


2024
Analyticity in space-time of solutions to the Navier-Stokes equations via a parameter trick based on maximal regularity
Kozono, H.; Kunstmann, P. C.; Shimizu, S.
2024. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 25 (3), 1673 – 1716. doi:10.2422/2036-2145.202109_011
A Perron–Frobenius type result in Banach algebras via asymptotic closeness to a cone
Herzog, G.; Kunstmann, P.
2024. Positivity, 28 (3), Art.-Nr.: 45. doi:10.1007/s11117-024-01062-3
Minimal periods for semilinear parabolic equations
Herzog, G.; Kunstmann, P. C.
2024. Archiv der Mathematik, 122 (5), 559 – 573. doi:10.1007/s00013-024-01970-6
Around maximal regularity for Navier-Stokes equations
Bechtel, S.; Bui, C.; Kunstmann, P.
2024. Mathematical methods and modeling for mixtures of fluids and interface evolution. Eds.: Frédéric Charve, Raphaël Danchin & Sylvie Monniaux, 29–76, Société Mathématique de France (SMF)
2023
Seismic imaging with generalized Radon transforms: stability of the Bolker condition
Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2023. Pure and Applied Mathematics Quarterly, 19 (4), 1985–2036. doi:10.4310/pamq.2023.v19.n4.a11
Eventually positive elements in ordered Banach algebras
Herzog, G.; Kunstmann, P. C.
2023. Commentationes Mathematicae Universitatis Carolinae, 64 (3), 321–330. doi:10.14712/1213-7243.2023.030
A weak differential inequality
Herzog, G.; Kunstmann, P.
2023. Publicationes Mathematicae Debrecen, 102 (1-2), 255 – 259. doi:10.5486/PMD.2023.9455
2022
Global wellposedness of NLS in H () + H ()
Klaus, F.; Kunstmann, P.
2022. Journal of Mathematical Analysis and Applications, 514 (2), Art.-Nr.: 126359. doi:10.1016/j.jmaa.2022.126359
Cwikel’s bound reloaded
Hundertmark, D.; Kunstmann, P.; Ried, T.; Vugalter, S.
2022. Inventiones mathematicae, 231, 111–167. doi:10.1007/s00222-022-01144-7
Spectral symmetry of solutions of boundary value problems in Banach algebras
Herzog, G.; Kunstmann, P. C.
2022. Annales Polonici mathematici, 128, 39–48. doi:10.4064/ap210520-4-10
Seismic imaging with generalized Radon transforms: stability of the Bolker condition
Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000141638
2021
Global wellposedness of NLS in H () + H ()
Klaus, F.; Kunstmann, P.
2021. doi:10.48550/arXiv.2109.11341
Global wellposedness of NLS in
Klaus, F.; Kunstmann, P.
2021. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000137946
Counting bound states with maximal Fourier multipliers
Hundertmark, D.; Kunstmann, P. C.; Ried, T.; Vugalter, S.
2021. Partial Differential Equations, Spectral Theory, and Mathematical Physics – The Ari Laptev Anniversary Volume. Ed.: P. Exner, 197–207, EMS Press. doi:10.4171/ECR/18-1/11
Quadratic inequalities for functionals in {}
Herzog, G.; Kunstmann, P. C.
2021. Opuscula Mathematica, 41 (3), 437–446. doi:10.7494/opmath.2021.41.3.437
Unconditional uniqueness of higher order nonlinear Schrödinger equations
Klaus, F.; Kunstmann, P.; Pattakos, N.
2021. Czechoslovak mathematical journal, 71 (3), 709–742. doi:10.21136/CMJ.2021.0078-20
On the global well-posedness of the quadratic NLS on H (𝕥) + L ()
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2021. Nonlinear Differential Equations and Applications, 28 (2), 11. doi:10.1007/s00030-020-00670-8
2020
Asymptotic constants in averaged Hölder inequalities
Herzog, G.; Kunstmann, P. C.
2020. Real Anal. Exchange, 45 (2), 425–437
Imaging with the elliptic radon transform in three dimensions from an analytical and numerical perspective
Grathwohl, C.; Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2020. SIAM journal on imaging sciences, 13 (4), 2250–2280. doi:10.1137/20M1332657
Imaging with the elliptic Radon transform in 3D from an analytical and numerical perspective
Grathwohl, C.; Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000118531
2019
Knocking Out Teeth in One-Dimensional Periodic Nonlinear Schrödinger Equation
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2019. SIAM journal on mathematical analysis, 51 (5), 3714–3749. doi:10.1137/19M1249679
Korovkin’s Theorem for Functionals and Limits for Box Integrals
Herzog, G.; Kunstmann, P. C.
2019. The American mathematical monthly, 126 (5), 449–454. doi:10.1080/00029890.2019.1577670
Boundary value problems with solutions in convex sets
Herzog, G.; Kunstmann, P. C.
2019. Opuscula Mathematica, 39 (1), 49–60. doi:10.7494/opmath.2019.39.1.49
Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000105752
Unconditional uniqueness of higher order nonlinear Schrödinger equations
Kunstmann, P.; Pattakos, N.
2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000099946
On the global well-posedness of the quadratic NLS on
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000093752
2018
Microlocal analysis of imaging operators for effective common offset seismic reconstruction
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2018. Inverse problems, 34 (11), 114001. doi:10.1088/1361-6420/aadc2a
Runge–Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity
Kunstmann, P. C.; Li, B.; Lubich, C.
2018. Foundations of computational mathematics, 18 (5), 1109–1130. doi:10.1007/s10208-017-9364-x
Cwikel’s bound reloaded
Hundertmark, D.; Kunstmann, P.; Ried, T.; Wugalter, S.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000086911
Knocking out teeth in one-dimensional periodic NLS
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000086884
Microlocal analysis of imaging operators for effective common offset seismic reconstruction
Grathwohl, C.; Kunstmann, P.; Rieder, A.; Quinto, E. T.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000083268
Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations
Kunstmann, P. C.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000082024
Nonlinear Schrödinger equation, differentiation by parts and modulation spaces
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000080681
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2018. Inverse problems, 34 (1), Art.Nr. 014002. doi:10.1088/1361-6420/aa9900
2017
On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2017. Journal of differential equations, 263 (8), 4429–4441. doi:10.1016/j.jde.2017.04.020
2016
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000062931
Localwell-posedness for the nonlinear Schrödinger equation in modulation spaces Ms p;q(Rd)
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000061425
New criteria for the -calculus and the Stokes operator on bounded Lipschitz domains
Kunstmann, P. C.; Weis, L.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000060560
New criteria for the H∞-calculus and the Stokes operator on bounded Lipschitz domains
Kunstmann, P. C.; Weis, L.
2016. Journal of evolution equations, 1–23. doi:10.1007/s00028-016-0360-4
On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space Mp,q(R)
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000059519
2015
Lp-Spectral Multipliers for some Elliptic Systems
Kunstmann, P. C.; Uhl, M.
2015. The proceedings of the Edinburgh Mathematical Society, 58 (1), 231–253. doi:10.1017/S001309151400008X
Stability of dispersion managed solitons for vanishing average dispersion
Hundertmark, D.; Kunstmann, P.; Schnaubelt, R.
2015. Archiv der Mathematik (0003-889X, 1420-8938), 104 (3), 283–288. doi:10.1007/s00013-015-0731-z
Weak Neumann implies H∞ for Stokes
Geissbert, M.; Kunstmann, P. C.
2015. Journal of the Mathematical Society of Japan, 67 (1), 183–193. doi:10.2969/jmsj/06710183
R-s-bounded H-infinity-calculus for sectorial operators via generalized Gaussian estimates
Kunstmann, P. C.; Ullmann, A.
2015. Mathematische Nachrichten, 288 (11-12), 1371–1387. doi:10.1002/mana.201300132
Spectral multiplier theorems of Hörmander type on Hardy and Lebesgue spaces
Kunstmann, P. C.; Uhl, M.
2015. Journal of operator theory, 73 (1), 27–69. doi:10.7900/jot.2013aug29.2038
2013
A Fixed Point Theorem for Decreasing Functions
Herzog, G.; Kunstmann, P. C.
2013. Numerical functional analysis and optimization, 34 (5), 530–538. doi:10.1080/01630563.2012.760591
2006
Majorization of -semigroups in ordered Banach spaces
Herzog, G.; Kunstmann, P. C.
2006. Commentationes mathematicae Universitatis Carolinae, 47 (1), 47–54
2005
Majorization of Co-semigroups in ordered Banach spaces
Herzog, G.; Kunstmann, P. C.
2005. Universität Karlsruhe (TH)
2002
Hoo-calculus for submarkovian generators
Kunstmann, P. C.; Strkalj, Z.
2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,15.)
Lp-spectral properties of elliptic differential operators
Kunstmann, P. C.
2002. Fak. f. Mathematik, Habil.-Schr. v. 13.2.2002
2001
Perturbation theorems for maximal Lp-regularity
Kunstmann, P. C.; Weis, L.
2001. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 30 (2), 415–435
Stability for families of positive semigroups and partial differential equations via one-sided estimates
Herzog, G.; Kunstmann, P. C.
2001. Demonstratio mathematica, 34, 77–82
Laplace transform theory for logarithmic regions
Kunstmann, P. C.
2001. In: Evolution equations and their applications in physical and life sciences. Ed.: G. Lumer. New York 2001. S. 125-138. (Lecture notes in pure and applied mathematics. 215.)
2000
Spectral inclusions for semigroups of closed operators
Kunstmann, P. C.
2000. Semigroup forum 60 (2000) H. 2 S. 310-320
Kernel estimates and Lp-spectral independence of differential and integral operators
Kunstmann, P. C.
2000. In: Operator theoretical methods. Proceedings of the 17th International Conference on Operator Theory, Timisoara, Romania 1998. Ed.: A. Gheondea. Bucharest : The Theta Found. 2000. S. 197-211
Weighted norm estimates and Lp-spectral independence of linear operators
Kunstmann, P. C.; Vogt, H.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,41.)
Lp-spectral properties of the Neumann Laplacian on horns, comets and stars
Kunstmann, P. C.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,40.)
Uniformly elliptic operators with maximal Lp-spectrum in planar domains
Kunstmann, P. C.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,39.)
Nonuniqueness and wellposedness of abstract Cauchy problems for closed linear operators in a Frechet space
Kunstmann, P. C.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,38.)
Perturbation theorems for maximal Lp-regularity
Kunstmann, P. C.; Weis, L.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,37.)
1999
Distribution semigroups and abstract Cauchy problems
Kunstmann, P. C.
1999. Trans. of the Amer. Math. Soc. 351 (1999) S. 837-856
Heat kernel estimates and Lp spectral independence of elliptic operators
Kunstmann, P. C.
1999. Bull. of the Lond. Math. Soc. 31 (1999) S. 345-353
1998
Regularization of semigroups that are strongly continuous for t > 0
Kunstmann, P. C.
1998. Proc. of the Amer. Math. Soc. 126 (1998) S. 2721-2724
1997
Stationary dense operators and generation of non-dense distribution semigroups
Kunstmann, P. C.
1997. J. of operator theory 37 (1997) S. 111-120