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Journal Article
Uniqueness of the nonlinear Schrödinger equation driven by jump processes
, ,
: Nodea-Nonlinear Differential Equations and Applications vol.26, 22
: GA15-08819S, GA ČR
: Uniqueness results, Yamada–Watanabe–Kurtz theorem, Stochastic integral of jump type, Stochastic partial differential equations, Poisson random measures, Lévy processes, Schrödinger equation
: http://library.utia.cas.cz/separaty/2019/SI/ondrejat-0505791.pdf
: https://link.springer.com/article/10.1007/s00030-019-0569-3
(eng): In a recent paper by the first two authors, existence of martingale solutions to a stochastic nonlinear Schrödinger equation driven by a Lévy noise was proved. In this paper, we prove pathwise uniqueness, uniqueness in law and existence of strong solutions to this problem using an abstract uniqueness result of Kurtz.
: BA
: 10101