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arXiv:1202.2029 [math.AP]Abstract References Reviews Resources

Strong solutions to semilinear SPDEs

Published 2012-02-09Version 1

We study the Cauchy problem for a semilinear stochastic partial differential equation driven by a finite-dimensional Wiener process. In particular, under the hypothesis that all the coefficients are sufficiently smooth and have bounded derivatives, we consider the equation in the context of power scale generated by a strongly elliptic differential operator. Application of semigroup arguments then yields the existence of a continuous strong solution.

Categories: math.AP, math.PR

Keywords: strong solution, semilinear spdes, semilinear stochastic partial differential equation, stochastic partial differential equation driven, finite-dimensional wiener process

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