The stochastic nonlinear Schrödinger equations driven by pure jump noise

In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger equations with additive jump noise in L2(Rd). Our results cover all either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case.

Saved in:
Bibliographic Details
Published inStatistics & probability letters Vol. 197; p. 109810
Main Authors Wang, Jian, Zhai, Jianliang, Zhu, Jiahui
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2023
Subjects
Nonlinear Schrödinger equation
Pure jump noise
Stochastic Strichartz estimate
60J76
35J10
Stochastic Strichartz estimate
35B65
Pure jump noise
Nonlinear Schrödinger equation
60H15
Online AccessGet full text

Cover

More Information
Summary:In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger equations with additive jump noise in L2(Rd). Our results cover all either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2023.109810