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arXiv · 1509.04829

A Schauder estimate for stochastic PDEs

Kai Du·Jiakun Liu
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Abstract

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

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Kai Du, Jiakun Liu. 2015-09-16. A Schauder estimate for stochastic PDEs. https://arxiv.org/abs/1509.04829

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