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Uniqueness of the nonlinear Schrödinger equation driven by jump processes

Result description

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.

Keywords

Uniqueness resultsYamada–Watanabe–Kurtz theoremStochastic integral of jump typeStochastic partial differential equationsPoisson random measuresLévy processesSchrödinger equation

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Uniqueness of the nonlinear Schrödinger equation driven by jump processes

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Nodea-Nonlinear Differential Equations and Applications

  • ISSN

    1021-9722

  • e-ISSN

  • Volume of the periodical

    26

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    31

  • Pages from-to

    22

  • UT code for WoS article

    000470690500001

  • EID of the result in the Scopus database

    2-s2.0-85067052020

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2019