Bibliography

Journal Article

Uniqueness of the nonlinear Schrödinger equation driven by jump processes

de Bouard A., Hausenblas E., Ondreját Martin

: Nodea-Nonlinear Differential Equations and Applications vol.26,

: Uniqueness results, Yamada–Watanabe–Kurtz theorem, Stochastic integral of jump type, Stochastic partial differential equations, Poisson random measures, Lévy processes, Schrödinger equation

: 10.1007/s00030-019-0569-3

: 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