Existence and uniqueness results for semilinear stochastic partial differential equations

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Abstract

We prove existence, uniqueness and comparison theorems for a class of semilinear stochastic partial differential equations driven by space–time white noise. The class of equations we investigate contains as special cases the stochastic Burgers equation and the reaction–diffusion equations perturbed by space–time white noise.

MSC

60H15
35R30

Keywords

Stochastic partial differential equations
Space–time white noise
Green measures

Cited by (0)

1

Partially supported by OTKA 2290.