On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing

Jingyu Huang; Tadahiro Oh; Mamoru Okamoto

doi:10.1090/bproc/226

On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing

Jingyu Huang, Tadahiro Oh^*, Mamoru Okamoto

^*Corresponding author for this work

School of Mathematics

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

Abstract / Description of output

In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.

Original language	English
Pages (from-to)	378-389
Journal	Proceedings of the American Mathematical Society: Series B
Volume	11
DOIs	https://doi.org/10.1090/bproc/226
Publication status	Published - 11 Jul 2024

Keywords / Materials (for Non-textual outputs)

local linearization
stochastic wave equation
multiplicative noise
null coordinates

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10.1090/bproc/226Licence: Creative Commons: Attribution (CC-BY)

loc_PAMS_acceptedAccepted author manuscript, 304 KB

https://arxiv.org/abs/2309.16506

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title = "On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing",

abstract = "In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.",

keywords = "local linearization, stochastic wave equation, multiplicative noise, null coordinates",

author = "Jingyu Huang and Tadahiro Oh and Mamoru Okamoto",

year = "2024",

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doi = "10.1090/bproc/226",

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AU - Huang, Jingyu

AU - Oh, Tadahiro

AU - Okamoto, Mamoru

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Y1 - 2024/7/11

N2 - In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.

AB - In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.

KW - local linearization

KW - stochastic wave equation

KW - multiplicative noise

KW - null coordinates

U2 - 10.1090/bproc/226

DO - 10.1090/bproc/226

M3 - Article

SN - 2330-1511

VL - 11

SP - 378

EP - 389

JO - Proceedings of the American Mathematical Society: Series B

JF - Proceedings of the American Mathematical Society: Series B

ER -

On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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Cite this