The Boltzmann equation, Besov spaces, and optimal time decay rates in Rxn V Sohinger, RM Strain Advances in Mathematics 261, 274-332, 2014 | 113 | 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 | 81 | 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 | 54 | 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 | 53 | 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 | 53 | 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 | 30 | 2022 |
Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations V Sohinger arXiv preprint arXiv:1003.5709, 2010 | 29 | 2010 |
Randomization and the Gross–Pitaevskii hierarchy V Sohinger, G Staffilani Archive for Rational Mechanics and Analysis 218, 417-485, 2015 | 28 | 2015 |
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 | 27 | 2019 |
The Gross–Pitaevskii hierarchy on general rectangular tori S Herr, V Sohinger Archive for Rational Mechanics and Analysis 220, 1119-1158, 2016 | 26 | 2016 |
Unconditional uniqueness results for the nonlinear Schrödinger equation S Herr, V Sohinger Communications in Contemporary Mathematics 21 (07), 1850058, 2019 | 25 | 2019 |
Local existence of solutions to randomized Gross-Pitaevskii hierarchies V Sohinger Transactions of The American Mathematical Society 368 (3), 1759-1835, 2016 | 21 | 2016 |
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 | 20 | 2022 |
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 | 15 | 2020 |
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, Epub ahead of print, 2024 | 11 | 2024 |
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 | 11 | 2023 |
Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs Z Ammari, V Sohinger Revista Matemática Iberoamericana 39 (1), 29-90, 2022 | 10 | 2022 |
Interacting loop ensembles and Bose gases J Fröhlich, A Knowles, B Schlein, V Sohinger Annales Henri Poincaré 24 (5), 1439-1503, 2023 | 6 | 2023 |
Randomization and the Gross-Pitaevskii hierarchy, preprint (2013) V Sohinger, G Staffilani | 6 | |
Local existence of solutions to Randomized Gross-Pitaevskii hierarchies, preprint (2014) V Sohinger | 5 | |