On the stochastic nonlinear Schrödinger equations with non-smooth additive noise

Tadahiro Oh; Oana Pocovnicu; Yuzhao Wang

doi:10.1215/21562261-2019-0060

On the stochastic nonlinear Schrödinger equations with non-smooth additive noise

Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.

Original language	English
Pages (from-to)	1227-1243
Number of pages	17
Journal	Kyoto journal of mathematics
Volume	60
Issue number	4
Early online date	30 Sep 2020
DOIs	https://doi.org/10.1215/21562261-2019-0060
Publication status	Published - Dec 2020

Keywords

stochastic nonlinear Schrödinger equation
well-posedness
dispersive estimate

Access to Document

10.1215/21562261-2019-0060

OPW_Kyoto_finalAccepted author manuscript, 385 KBLicence: Creative Commons: Attribution-NonCommercial-ShareAlike (CC BY-NC-SA)

ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
Oh, T.
EU government bodies
1/03/15 → 29/02/20
Project: Research

Cite this

@article{120f2fd549e24f41a7e5ebbaebb21012,

title = "On the stochastic nonlinear Schr{\"o}dinger equations with non-smooth additive noise",

abstract = "We study the stochastic nonlinear Schr{\"o}dinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.",

keywords = "stochastic nonlinear Schr{\"o}dinger equation, well-posedness, dispersive estimate",

author = "Tadahiro Oh and Oana Pocovnicu and Yuzhao Wang",

year = "2020",

month = dec,

doi = "10.1215/21562261-2019-0060",

language = "English",

volume = "60",

pages = "1227--1243",

journal = "Kyoto journal of mathematics",

issn = "2156-2261",

publisher = "Kyoto University",

number = "4",

}

TY - JOUR

T1 - On the stochastic nonlinear Schrödinger equations with non-smooth additive noise

AU - Oh, Tadahiro

AU - Pocovnicu, Oana

AU - Wang, Yuzhao

PY - 2020/12

Y1 - 2020/12

N2 - We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.

AB - We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique local-in-time solution with rougher stochastic forcing than those considered in the literature.

KW - stochastic nonlinear Schrödinger equation

KW - well-posedness

KW - dispersive estimate

U2 - 10.1215/21562261-2019-0060

DO - 10.1215/21562261-2019-0060

M3 - Article

VL - 60

SP - 1227

EP - 1243

JO - Kyoto journal of mathematics

JF - Kyoto journal of mathematics

SN - 2156-2261

IS - 4

ER -

On the stochastic nonlinear Schrödinger equations with non-smooth additive noise

Abstract

Keywords

Access to Document

Fingerprint

Projects

ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations

Cite this