Aktuelle Lehrveranstaltungen

Titel	Links	Typ
Sommersemester 2026
Spektraltheorie		Vorlesung (V)
Übungen zu 0163700 (Spektraltheorie)		Übung (Ü)
Seminar (Analysis)		Seminar (S)
AG Mathematische Physik		Seminar (S)
Wintersemester 2025/26
Funktionalanalysis		Vorlesung (V)
Übungen zu 0104800 (Funktionalanalysis)		Übung (Ü)
Seminar (ausgewählte Probleme aus der komplexen Analysis)		Seminar (S)
AG Mathematische Physik		Oberseminar (OS)

Publikationsliste

2024

Absence of embedded eigenvalues of Pauli and Dirac operators
Hundertmark, D.; Kovařík, H.
2024. Journal of Functional Analysis, 286 (4), Art.-Nr.: 110288. doi:10.1016/j.jfa.2023.110288

2023

Absence of embedded eigenvalues of Pauli and Dirac operators
Hundertmark, D.; Kovařík, H.
2023. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000166043

On the van der Waals interaction between a molecule and a half-infinite plate
Anapolitanos, I.; Badalyan, M.; Hundertmark, D.
2023. Journal of Mathematical Physics, 64 (8), Art.-Nr.: 082103. doi:10.1063/5.0117054

Well–posedness of dispersion managed nonlinear Schrödinger equations
Choi, M.-R.; Hundertmark, D.; Lee, Y.-R.
2023. Journal of Mathematical Analysis and Applications, 522 (1), Art.Nr. 126938. doi:10.1016/j.jmaa.2022.126938

Absence of positive eigenvalues of magnetic Schrödinger operators
Avramska-Lukarska, S.; Hundertmark, D.; Kovařík, H.
2023. Calculus of Variations and Partial Differential Equations, 62 (2), Art.Nr. 63. doi:10.1007/s00526-022-02397-z

Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality
Hundertmark, D.; Jex, M.; Lange, M.
2023. Forum of Mathematics, Sigma, 11, Art.-Nr.: e61. doi:10.1017/fms.2023.39

2022

Quantum systems at the brink: existence of bound states, critical potentials and dimensionality
Hundertmark, D.; Jex, M.; Lange, M.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000154172

Quantum systems at the brink: helium-type systems
Hundertmark, D.; Jex, M.; Lange, M.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000150353

Absence of positive eigenvalues of magnetic Schrödinger operators
Avramska–Lukarska, S.; Hundertmark, D.; Kovařík, H.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000150352

Van der Waals–London interaction of atoms with pseudo-relativistic kinetic energy
Barbaroux, J.-M.; Hartig, M. C.; Hundertmark, D.; Vugalter, S.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000150351

Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy
Barbaroux, J.-M.; Hartig, M. C.; Hundertmark, D.; Vugalter, S.
2022. Analysis and PDE, 15 (6), 1375–1428. doi:10.2140/apde.2022.15.1375

2021

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

On the Asymptotic Dynamics of 2-D Magnetic Quantum Systems
Cárdenas, E.; Hundertmark, D.; Stockmeyer, E.; Vugalter, S.
2021. Annales Henri Poincaré, 22 (2), 415–445. doi:10.1007/s00023-020-01012-1

Out-of-equilibrium optomechanical resonance self-excitation
Milde, P.; Langenhorst, M.; Hölscher, H.; Rottmann-Matthes, J.; Hundertmark, D.; Eng, L. M.; Hoffmann-Vogel, R.
2021. Journal of Applied Physics, 130 (3), Art.-Nr.: 035303. doi:10.1063/5.0054509

The Lieb-Thirring inequality revisited
Frank, R. L.; Hundertmark, D.; Jex, M.; Nam, P. T.
2021. Journal of the European Mathematical Society, 23 (8), 2583–2600. doi:10.4171/JEMS/1062

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

On the asymptotic dynamics of 2-D magnetic quantum systems
Cárdenas, E.; Hundertmark, D.; Stockmeyer, E.; Wugalter, S.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000125600

On the van der Waals interaction between a molecule and a half-infinite plate
Anapolitanos, I.; Badalyan, M.; Hundertmark, D.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000119142

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

Nonlinear Schrödinger equation, differentiation by parts and modulation spaces
Chaichenets, L.; Hundertmark, D.; Kunstmann, P.; Pattakos, N.
2019. Journal of evolution equations, 19 (3), 803–843. doi:10.1007/s00028-019-00501-z

Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy
Barbaroux, J.-M.; Hartig, M.; Hundertmark, D.; Vugalter, S.
2019. doi:10.48550/arXiv.1902.09222

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

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

Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
Hundertmark, D.; Lee, Y.-R.; Ried, T.; Zharnitsky, V.
2018. Journal of differential equations, 265 (8), 3311–3338. doi:10.1016/j.jde.2017.08.028

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

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

2017

Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities
Choi, M.-R.; Hundertmark, D.; Lee, Y.-R.
2017. Journal of mathematical physics, 58 (10), Art. Nr.: 101513. doi:10.1063/1.5004253

Why do solutions of the Maxwell-Boltzmann equation tend to be Gaussians? A simple answer
Hundertmark, D.; Lee, Y.
2017. Documenta mathematica, 22 (2017), 1267–1273

Derivation of the Hartree equation for compound Bose gases in the mean field limit
Anapolitanos, I.; Hott, M.; Hundertmark, D.
2017. Reviews in mathematical physics, 29 (7), Art. Nr. 750022. doi:10.1142/S0129055X17500222

Dispersion managed solitons in the presence of saturated nonlinearity
Hundertmark, D.; Lee, Y.-R.; Ried, T.; Zharnitsky, V.
2017. Physica / D, 356-357, 65–69. doi:10.1016/j.physd.2017.06.004

Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
Hundertmark, D.; Lee, Y.-R.; Ried, T.; Zharnitsky, V.
2017. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000072733

Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction
Barbaroux, J.-M.; Hundertmark, D.; Ried, T.; Vugalter, S.
2017. Kinetic and related models, 10 (4), 901–924. doi:10.3934/krm.2017036

Thresholds for existence of dispersion management solitons for general nonlinearities
Choi, M.-R.; Hundertmark, D.; Lee, Y.-R.
2017. SIAM journal on mathematical analysis, 49 (2), 1519–1569. doi:10.1137/15M103666X

Dispersion managed solitons in the presence of saturated nonlinearity
Hundertmark, D.; Lee, Y.-R.; Ried, T.; Zharnitsky, V.
2017. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000069441

Derivation of the Hartree equation for compound Bose gases in the mean field limit
Anapolitanos, I.; Hott, M.; Hundertmark, D.
2017. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000068126

2016

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

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

Discrete diffraction managed solitons: threshold phenomena and rapid decay for general nonlinearities
Choi, M.-R.; Hundertmark, D.; Lee, Y.-R.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000059518

2015

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

Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction
Barbaroux, J.-M.; Hundertmark, D.; Ried, T.; Vugalter, S.
2015. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000051307

Gevrey smoothing forweak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
Barbaroux, J.-M.; Hundertmark, D.; Ried, T.; Vugalter, S.
2015. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000049622

Existence of dispersion management solitons for general nonlinearities
Choi, M.-R.; Hundertmark, D.; Lee, Y.-R.
2015. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000049621