On stochastic reaction-diffusion equations with singular force term

Aureli Alabert; István Gyöngy

doi:https://doi.org/10.2307/3318606

On stochastic reaction-diffusion equations with singular force term

Aureli Alabert, István Gyöngy

Department of Mathematics

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

6 Citations (Scopus)

Abstract

We prove an existence and uniqueness theorem for stochastic reaction-diffusion equations driven by space-time white noise in one spatial dimension, when the diffusion coefficient is non-degenerate and the force term is only measurable and can be locally unbounded. © 2001 ISI/BS.

Original language	English
Pages (from-to)	145-164
Journal	Bernoulli
Volume	7
DOIs	https://doi.org/10.2307/3318606
Publication status	Published - 1 Jan 2001

Keywords

Space-time white noise
Stochastic reaction-diffusion equations

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title = "On stochastic reaction-diffusion equations with singular force term",

abstract = "We prove an existence and uniqueness theorem for stochastic reaction-diffusion equations driven by space-time white noise in one spatial dimension, when the diffusion coefficient is non-degenerate and the force term is only measurable and can be locally unbounded. {\textcopyright} 2001 ISI/BS.",

keywords = "Space-time white noise, Stochastic reaction-diffusion equations",

author = "Aureli Alabert and Istv{\'a}n Gy{\"o}ngy",

year = "2001",

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AU - Gyöngy, István

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N2 - We prove an existence and uniqueness theorem for stochastic reaction-diffusion equations driven by space-time white noise in one spatial dimension, when the diffusion coefficient is non-degenerate and the force term is only measurable and can be locally unbounded. © 2001 ISI/BS.

AB - We prove an existence and uniqueness theorem for stochastic reaction-diffusion equations driven by space-time white noise in one spatial dimension, when the diffusion coefficient is non-degenerate and the force term is only measurable and can be locally unbounded. © 2001 ISI/BS.

KW - Space-time white noise

KW - Stochastic reaction-diffusion equations

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DO - https://doi.org/10.2307/3318606

M3 - Article

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EP - 164

JO - Bernoulli

JF - Bernoulli

SN - 1350-7265

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