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,
231 (2023) 1, p. 111-167
Bibtex DOI: 10.1007/s00222-022-01144-7 ARXIV: https://arxiv.org/abs/1809.05069Radu Ignat ; Felix Otto ; Tobias Ried and Pavlos Tsatsoulis:
Variational methods for a singular SPDE yielding the universality of the magnetization
ripple
In: Communications on pure and applied mathematics,
76 (2023) 11, p. 2959-3043
Bibtex DOI: 10.1002/cpa.22093 ARXIV: https://arxiv.org/abs/2010.13123Felix 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/2007.11549Federico 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/1707.09584Dirk 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/1707.06944Jean-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/1509.01444Jean-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/1512.05134Dirk Hundertmark ; Young-Ran Lee ; Tobias Ried and Vadim Zharnitsky:
Dispersion managed solitons in the presence of saturated nonlinearity
In: Physica / D,
356/357 (2017), p. 65-69
Bibtex DOI: 10.1016/j.physd.2017.06.004 LINK: https://primo.bibliothek.kit.edu/permalink/f/1etvh1g/KITSRCE1000072733Publications 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/18-1/11Academic 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