L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains

Kyeong Hun Kim

doi:10.1007/s10959-007-0098-6

L _p -theory of parabolic SPDEs degenerating on the boundary of C ¹ domains

Kyeong Hun Kim

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	169-192
Number of pages	24
Journal	Journal of Theoretical Probability
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s10959-007-0098-6
Publication status	Published - 2008 Mar

Bibliographical note

Funding Information:
This work was supported by a Korea University grant.

Keywords

SPDEs degenerating on the boundary
Weighted Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

Access to Document

10.1007/s10959-007-0098-6

Cite this

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title = "L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains",

abstract = "Degenerate stochastic partial differential equations are considered in C 1 domains. Existence and uniqueness results are given in weighted Sobolev spaces, and H{\"o}lder estimates of the solutions are presented.",

keywords = "SPDEs degenerating on the boundary, Weighted Sobolev spaces",

author = "Kim, {Kyeong Hun}",

note = "Funding Information: This work was supported by a Korea University grant.",

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