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2005 $L_p$-Estimates for SPDE with Discontinuous Coefficients in Domains
Kyeong-Hun Kim
Author Affiliations +
Electron. J. Probab. 10: 1-20 (2005). DOI: 10.1214/EJP.v10-234

Abstract

Stochastic partial differential equations of divergence form with discontinuous and unbounded coefficients are considered in $C^1$ domains. Existence and uniqueness results are given in weighted $L_p$ spaces, and Holder type estimates are presented.

Citation

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Kyeong-Hun Kim. "$L_p$-Estimates for SPDE with Discontinuous Coefficients in Domains." Electron. J. Probab. 10 1 - 20, 2005. https://doi.org/10.1214/EJP.v10-234

Information

Accepted: 11 February 2005; Published: 2005
First available in Project Euclid: 1 June 2016

zbMATH: 1065.60079
MathSciNet: MR2120238
Digital Object Identifier: 10.1214/EJP.v10-234

Subjects:
Primary: 60H15
Secondary: 35R60

Keywords: discontinuous coefficients , Stochastic partial differential equations

Vol.10 • 2005
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