Averaging principle for the heat equation driven by a general stochastic measure

Abstract

We study the one-dimensional stochastic heat equation in the mild form driven by a general stochastic measure $\mu$, for $\mu$ we assume only $\sigma$-additivity in probability. The time averaging of the equation is considered, uniform a. s. convergence to the solution of the averaged equation is obtained.

References in corpus (1)

• Two-time-scale stochastic partial differential equations driven by $\alpha$-stable noises: Averaging principles