On a Wick-type stochastic parabolic equations with random potentials

Abstract

Stochastic parabolic equations with random potentials, where the Wick product is used to give sense to the product of generalized stochastic processes, are considered. The existence and uniqueness of solutions are proved via the chaos expansion method from white noise analysis and explicit estimates on the coefficients in the chaos expansion representation of the solutions are provided.

Keywords

• Stochastic parabolic equations
• Random potentials
• Chaos expansions
• Wick product