Lp estimates for spde with discontinuous coefficients in domains

Kyeong Hun Kim

doi:10.1214/EJP.v10-234

L_p estimates for spde with discontinuous coefficients in domains

Kyeong Hun Kim

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

7 Citations (Scopus)

Abstract

Stochastic partial differential equations of divergence form with discontinuous and unbounded coeffcients are considered in C¹ domains. Existence and uniqueness results are given in weighted L_p spaces, and Hölder type estimates are presented.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Electronic Journal of Probability
Volume	10
DOIs	https://doi.org/10.1214/EJP.v10-234
Publication status	Published - 2005 Jan 1
Externally published	Yes

Keywords

Discontinuous coeffcient
Stochastic partial differential equations

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/EJP.v10-234

Cite this

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title = "Lp estimates for spde with discontinuous coefficients in domains",

abstract = "Stochastic partial differential equations of divergence form with discontinuous and unbounded coeffcients are considered in C1 domains. Existence and uniqueness results are given in weighted Lp spaces, and H{\"o}lder type estimates are presented.",

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AB - Stochastic partial differential equations of divergence form with discontinuous and unbounded coeffcients are considered in C1 domains. Existence and uniqueness results are given in weighted Lp spaces, and Hölder type estimates are presented.

KW - Discontinuous coeffcient

KW - Stochastic partial differential equations

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