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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/23388

Approximation and support theorem for a wave equation in two space dimensions

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Abstract

We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coefficients, approximation in the Lp-norm for p¿1 is also proved.

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Anàlisi estocàstica, Teoria de l'aproximació, Equacions diferencials estocàstiques

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Stochastic analysis, Stochastic differential equations, Approximation theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

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MILLET, Annie and SANZ-SOLÉ, Marta. Approximation and support theorem for a wave equation in two space dimensions. Bernoulli. 2000. Vol. 6, num. 5, pags. 887-915. ISSN 1350-7265. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/23388

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