Structurally damped plate and wave equations with random point force in arbitrary space dimensions

Details Structurally damped plate and wave equations with random point force in arbitrary space dimensions Structurally damped plate and wave equations with random point force in arbitrary space dimensions

2008-10-21

arxiv.org/abs/0810.3898v2

Mathematics

Functional Analysis

accepted for publication in Differential and Integral Equations

Scientific paper

In this paper we consider structurally damped plate and wave equations with point and distributed random forces. In order to treat space dimensions more than one, we work in the setting of $L^q$--spaces with (possibly small) $q\in(1,2)$. We establish existence, uniqueness and regularity of mild and weak solutions to the stochastic equations employing recent theory for stochastic evolution equations in UMD Banach spaces.

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