Strong solutions to semilinear SPDEs

Details Strong solutions to semilinear SPDEs Strong solutions to semilinear SPDEs

2012-02-09

arxiv.org/abs/1202.2029v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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