Parabolic spdes degenerating on the boundary of non-smooth domain

Kyeong Hun Kim

doi:10.1214/EJP.v11-339

Parabolic spdes degenerating on the boundary of non-smooth domain

Kyeong Hun Kim

Department of Mathematics

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

2 Citations (Scopus)

Abstract

Degenerate stochastic partial differential equations of divergence and non-divergence forms are considered in non-smooth 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)	563-584
Number of pages	22
Journal	Electronic Journal of Probability
Volume	11
DOIs	https://doi.org/10.1214/EJP.v11-339
Publication status	Published - 2006 Jan 1

Keywords

Spdes degenerating on the boundary
Weighted Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/EJP.v11-339

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

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JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

ER -

Parabolic spdes degenerating on the boundary of non-smooth domain

Abstract

Keywords

ASJC Scopus subject areas

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