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arXiv:1509.04829 [math.AP]AbstractReferencesReviewsResources

A Schauder estimate for stochastic PDEs

Kai Du, Jiakun Liu

Published 2015-09-16Version 1

Considering stochastic partial differential equations of parabolic type with random coefficients in vector-valued H\"older spaces, we obtain a sharp Schauder estimate. As an application, the existence and uniqueness of solution to the Cauchy problem is also proved.

Comments: This is an abridged version. A full version is submitted separately
Categories: math.AP, math.PR
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