## Differential and Integral Equations

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

#### Abstract

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.

#### Article information

Source
Differential Integral Equations, Volume 23, Number 9/10 (2010), 957-988.

Dates
First available in Project Euclid: 20 December 2012