On a Stochastic Wave Equation Driven by a Non-Gaussian Levy Process

TL;DR

This paper studies a damped stochastic wave equation influenced by non-Gaussian Levy noise, establishing the existence and uniqueness of solutions and an invariant measure under mild conditions.

Contribution

It proves the existence and uniqueness of solutions and invariant measures for a wave equation driven by non-Gaussian Levy noise, extending stochastic PDE theory.

Findings

Weak solution exists and is unique

Unique invariant measure established

Results hold under mild conditions

Abstract

This paper investigates a damped stochastic wave equation driven by a non-Gaussian Levy noise. The weak solution is proved to exist and be unique. Moreover we show the existence of a unique invariant measure associated with the transition semigroup under mild conditions.