An Lp-theory of stochastic PDEs of divergence form on lipschitz domains

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Stochastic partial differential equations of divergence form are considered on Lipschitz domains. Existence and uniqueness results are given in weighted Sobolev spaces. It is allowed that the coefficients of the equations substantially oscillate or blow up near the boundary.

Original languageEnglish
Pages (from-to)220-238
Number of pages19
JournalJournal of Theoretical Probability
Volume22
Issue number1
DOIs
Publication statusPublished - 2009 Mar 1

Fingerprint

Stochastic PDEs
Lipschitz Domains
Weighted Sobolev Spaces
Stochastic Partial Differential Equations
Existence and Uniqueness Results
Blow-up
Divergence
Coefficient
Form
Partial differential equations
Uniqueness
Coefficients

Keywords

  • Divergence form
  • Lipschitz domains
  • Stochastic partial differential equations
  • Weighted Sobolev spaces

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

An Lp-theory of stochastic PDEs of divergence form on lipschitz domains. / Kim, Kyeong Hun.

In: Journal of Theoretical Probability, Vol. 22, No. 1, 01.03.2009, p. 220-238.

Research output: Contribution to journalArticle

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