On Lp-theory of stochastic partial differential equations of divergence form in C1 domains

Kyeong Hun Kim

doi:10.1007/s00440-004-0368-5

On L_p-theory of stochastic partial differential equations of divergence form in C¹ domains

Kyeong Hun Kim

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

27 Citations (Scopus)

Abstract

Stochastic partial differential equations of divergence form are considered in C¹ domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.

Original language	English
Pages (from-to)	473-492
Number of pages	20
Journal	Probability Theory and Related Fields
Volume	130
Issue number	4
DOIs	https://doi.org/10.1007/s00440-004-0368-5
Publication status	Published - 2004 Dec
Externally published	Yes

Keywords

C domains
Sobolev spaces with weights
Stochastic partial differential equations

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s00440-004-0368-5

Cite this

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abstract = "Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.",

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year = "2004",

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KW - C domains

KW - Sobolev spaces with weights

KW - Stochastic partial differential equations

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