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The Cauchy problem for a nonlinear stochastic wave equation in any dimension

The Cauchy problem for a nonlinear stochastic wave equation in any dimension A nonlinear wave equation on $ \mathbb{R}^d $ driven by a spatially homogeneous Wiener process is studied. Conditions for the existence of a function-valued solution in terms of the covariance kernel of the noise are given for an arbitrary dimension d. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

The Cauchy problem for a nonlinear stochastic wave equation in any dimension

Journal of Evolution Equations , Volume 2 (3) – Aug 1, 2002

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Birkhäuser Verlag Basel,
Subject
Mathematics; Analysis
ISSN
1424-3199
DOI
10.1007/PL00013197
Publisher site
See Article on Publisher Site

Abstract

A nonlinear wave equation on $ \mathbb{R}^d $ driven by a spatially homogeneous Wiener process is studied. Conditions for the existence of a function-valued solution in terms of the covariance kernel of the noise are given for an arbitrary dimension d.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Aug 1, 2002

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