On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise

Tadahiro Oh; Oana Pocovnicu; Yuzhao Wang

doi:10.1215/21562261-2019-0060

On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise

Tadahiro Oh
, Oana Pocovnicu
, Yuzhao Wang

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

10 Citations (Scopus)

108 Downloads (Pure)

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 Sept 2020
DOIs	https://doi.org/10.1215/21562261-2019-0060
Publication status	Published - Dec 2020

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title = "On the stochastic nonlinear Schr{\"o}dinger equations with nonsmooth 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.",

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

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AU - Pocovnicu, Oana

AU - Wang, Yuzhao

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DO - 10.1215/21562261-2019-0060

M3 - Article

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EP - 1243

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 4

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On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise

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