Lq(Lp) theory and Hölder estimates for parabolic SPDEs

Kyeong-Hun Kim

Stochastic Processes and their Applications, 2004, vol. 114, issue 2, 313-330

Abstract: Hölder estimates are given for the solutions of parabolic stochastic partial differential equations in C1 domains. Also existence and uniqueness theorems are presented in Lp-spaces with weights. It is allowed that the powers of summability with respect to space and time to be different.

Keywords: Stochastic; partial; differential; equations; Holder; estimate (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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