Existence Of weak solutions for a class of semilinear stochastic wave equations

Carlo Marinelli; Llúis Quer-Sardanyons

doi:10.1137/110826667

Existence Of weak solutions for a class of semilinear stochastic wave equations

Carlo Marinelli, Llúis Quer-Sardanyons

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

10 Citations (Scopus)

Abstract

We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of Rd driven by a possibly discontinuous square integrable martingale. © 2012 Society for Industrial and Applied Mathematics.

Original language	English
Pages (from-to)	906-925
Journal	SIAM Journal on Mathematical Analysis
Volume	44
DOIs	https://doi.org/10.1137/110826667
Publication status	Published - 28 May 2012

Keywords

Infinite dimensional semimartingales
Monotone operators
Nonlinear wave equations
Stochastic PDEs

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abstract = "We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of Rd driven by a possibly discontinuous square integrable martingale. {\textcopyright} 2012 Society for Industrial and Applied Mathematics.",

keywords = "Infinite dimensional semimartingales, Monotone operators, Nonlinear wave equations, Stochastic PDEs",

author = "Carlo Marinelli and Ll{\'u}is Quer-Sardanyons",

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AU - Quer-Sardanyons, Llúis

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AB - We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of Rd driven by a possibly discontinuous square integrable martingale. © 2012 Society for Industrial and Applied Mathematics.

KW - Infinite dimensional semimartingales

KW - Monotone operators

KW - Nonlinear wave equations

KW - Stochastic PDEs

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DO - 10.1137/110826667

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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Existence Of weak solutions for a class of semilinear stochastic wave equations

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Keywords

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