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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)169-192
Number of pages24
JournalJournal of Theoretical Probability
Volume21
Issue number1
DOIs
Publication statusPublished - 2008 Mar 1

Fingerprint

Weighted Sobolev Spaces
Stochastic Partial Differential Equations
Existence and Uniqueness Results
Estimate
Partial differential equations
Uniqueness

Keywords

  • SPDEs degenerating on the boundary
  • Weighted Sobolev spaces

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

L p -theory of parabolic SPDEs degenerating on the boundary of C 1 domains. / Kim, Kyeong Hun.

In: Journal of Theoretical Probability, Vol. 21, No. 1, 01.03.2008, p. 169-192.

Research output: Contribution to journalArticle

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