L p -Theory of Parabolic SPDEs Degenerating on the Boundary of C 1 Domains

Kyeong-Hun Kim ()
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Kyeong-Hun Kim: Korea University

Journal of Theoretical Probability, 2008, vol. 21, issue 1, 169-192

Abstract: Abstract Degenerate stochastic partial differential equations are considered in C 1 domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Hölder estimates of the solutions are presented.

Keywords: SPDEs degenerating on the boundary; Weighted Sobolev spaces (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-007-0098-6

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