Probability and variational methods in PDEs

Head:
Tobias Ried

Phone:
+49 (0) 341 - 9959 -959

Fax:
+49 (0) 341 - 9959 - 658

Address:
Inselstr. 22
04103 Leipzig

Publications Tobias Ried

Journal Articles

Dirk Hundertmark ; Peer Kunstmann ; Tobias Ried and Semjon Vugalter: Cwikel's bound reloaded
In: Inventiones mathematicae, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1007/s00222-022-01144-7 ARXIV: https://arxiv.org/abs/1809.05069
Repository Open Access

Felix Otto ; Maxime Prod'homme and Tobias Ried: Variational approach to regularity of optimal transport maps : general cost functions
In: Annals of PDE, 7 (2021) 2, 17
Bibtex MIS-Preprint: 20/2021 DOI: 10.1007/s40818-021-00106-1 ARXIV: https://arxiv.org/abs/2007.11549
Journal Open Access

Federico Bonetto ; Alissa Geisinger ; Michael Loss and Tobias Ried: Entropy decay for the Kac evolution
In: Communications in mathematical physics, 363 (2018) 3, p. 847-875
Bibtex DOI: 10.1007/s00220-018-3263-0 ARXIV: https://arxiv.org/abs/1707.09584
Repository Open Access

Dirk Hundertmark ; Young-Ran Lee ; Tobias Ried and Vadim Zharnitsky: Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
In: Journal of differential equations, 265 (2018) 8, p. 3311-3338
Bibtex DOI: 10.1016/j.jde.2017.08.028 ARXIV: https://arxiv.org/abs/1707.06944
Repository Open Access

Jean-Marie Barbaroux ; Dirk Hundertmark ; Tobias Ried and Semjon Vugalter: Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
In: Archive for rational mechanics and analysis, 225 (2017) 2, p. 601-661
Bibtex DOI: 10.1007/s00205-017-1101-8 ARXIV: https://arxiv.org/abs/1509.01444
Repository Open Access

Jean-Marie Barbaroux ; Dirk Hundertmark ; Tobias Ried and Semjon Vugalter: Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction
In: Kinetic and related models, 10 (2017) 4, p. 901-924
Bibtex DOI: 10.3934/krm.2017036 ARXIV: https://arxiv.org/abs/1512.05134
Repository Open Access

Dirk Hundertmark ; Young-Ran Lee ; Tobias Ried and Vadim Zharnitsky: Dispersion managed solitons in the presence of saturated nonlinearity
Repository Open Access

Publications in Books and Conference Proceedings

Dirk Hundertmark ; Peer Christian Kunstmann ; Tobias Ried and Semjon Vugalter: Counting bound states with maximal Fourier multipliers
In: Partial differential equations, spectral theory, and mathematical physics : the Ari Laptev anniversary volume / Pavel Exner... (eds.)
Berlin : EMS Press, 2021. - P. 197-207
(EMS series of congress reports ; 18)
Bibtex DOI: 10.4171/ECR/18-1/11

Preprints

Radu Ignat ; Felix Otto ; Tobias Ried and Pavlos Tsatsoulis: Variational methods for a singular SPDE yielding the universality of the magnetization ripple
(Communications on pure and applied mathematics)
Bibtex ARXIV: https://arxiv.org/abs/2010.13123
Repository Open Access

Academic Theses

Tobias Ried: On some nonlinear and nonlocal effective equations in kinetic theory and nonlinear optics
Dissertation, Universität Karlsruhe, 2017
Bibtex LINK: http://nbn-resolving.org/urn:nbn:de:swb:90-766090
Repository Open Access
06.12.2022, 05:50