The Boltzmann equation, Besov spaces, and optimal time decay rates in Rxn V Sohinger, RM Strain
Advances in Mathematics 261, 274-332, 2014
118 2014 Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations on R V Sohinger
Indiana University Mathematics Journal 60 (5), 1487-1516, 2011
84 2011 A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on T3 from the dynamics of many-body quantum systems V Sohinger
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32 (6), 1337-1365, 2015
58 2015 Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Many-Body Quantum States in Dimensions J Fröhlich, A Knowles, B Schlein, V Sohinger
Communications in Mathematical Physics 356, 883-980, 2017
57 2017 On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy P Gressman, V Sohinger, G Staffilani
Journal of Functional Analysis 266 (7), 4705-4764, 2014
54 2014 The mean-field limit of quantum Bose gases at positive temperature J Fröhlich, A Knowles, B Schlein, V Sohinger
Journal of the American Mathematical Society 35 (4), 955-1030, 2022
33 2022 A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation J Fröhlich, A Knowles, B Schlein, V Sohinger
Advances in Mathematics 353, 67-115, 2019
31 2019 The Gross–Pitaevskii hierarchy on general rectangular tori S Herr, V Sohinger
Archive for Rational Mechanics and Analysis 220, 1119-1158, 2016
31 2016 Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations V Sohinger
arXiv preprint arXiv:1003.5709, 2010
30 2010 Randomization and the Gross–Pitaevskii hierarchy V Sohinger, G Staffilani
Archive for Rational Mechanics and Analysis 218, 417-485, 2015
29 2015 Unconditional uniqueness results for the nonlinear Schrödinger equation S Herr, V Sohinger
Communications in Contemporary Mathematics 21 (07), 1850058, 2019
27 2019 A microscopic derivation of Gibbs measures for nonlinear Schrödinger equations with unbounded interaction potentials V Sohinger
International Mathematics Research Notices 2022 (19), 14964-15063, 2022
24 2022 Local existence of solutions to randomized Gross-Pitaevskii hierarchies V Sohinger
Transactions of The American Mathematical Society 368 (3), 1759-1835, 2016
22 2016 A path-integral analysis of interacting Bose gases and loop gases J Fröhlich, A Knowles, B Schlein, V Sohinger
Journal of Statistical Physics 180 (1), 810-831, 2020
17 2020 A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation A Rout, V Sohinger
Communications in Partial Differential Equations 48 (7-8), 1008-1055, 2023
16 2023 The Euclidean theory as a limit of an interacting Bose gas J Fröhlich, A Knowles, B Schlein, V Sohinger
Journal of the European Mathematical Society, 2024
15 2024 Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs Z Ammari, V Sohinger
Revista Matemática Iberoamericana 39 (1), 29-90, 2022
12 2022 A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation A Rout, V Sohinger
arXiv e-prints, arXiv: 2308.06569, 2023
7 2023 Interacting loop ensembles and Bose gases J Fröhlich, A Knowles, B Schlein, V Sohinger
Annales Henri Poincaré 24 (5), 1439-1503, 2023
7 2023 Randomization and the Gross-Pitaevskii hierarchy, preprint (2013) V Sohinger, G Staffilani
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