Asymptotic properties of the parabolic equation driven by stochastic measure

Abstract

A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure, for which we assume only σ-additivity in probability, is considered. The asymptotic behavior of its solution as $t\to \infty $ is studied.

Keywords

• Stochastic measure
• mild solution
• stochastic parabolic equation
• asymptotic behavior