Asymptotic Behavior of a Class of Nonlinear Stochastic Heat Equations with Memory Effects
Asymptotic Behavior of a Class of Nonlinear Stochastic Heat Equations with Memory Effects
In this paper we investigate a class of semilinear stochastic Volterra equations which arise in the theory of heat conduction with memory effects, with dissipative nonlinearities and an additive stochastic term which models a rapidly varying external heat source. We first prove that the problem has a unique solution for …