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

Kyeong Hun Kim

doi:10.1007/s10959-008-0170-x

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

Kyeong Hun Kim

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

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 language	English
Pages (from-to)	220-238
Number of pages	19
Journal	Journal of Theoretical Probability
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/s10959-008-0170-x
Publication status	Published - 2009 Mar

Keywords

Divergence form
Lipschitz domains
Stochastic partial differential equations
Weighted Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

Access to Document

10.1007/s10959-008-0170-x

Cite this

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