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2006 Parabolic SPDEs Degenerating on the Boundary of Non-Smooth Domain
Kyeong-Hun Kim
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Electron. J. Probab. 11: 563-584 (2006). DOI: 10.1214/EJP.v11-339

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 Holder estimates of the solutions are presented.

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Kyeong-Hun Kim. "Parabolic SPDEs Degenerating on the Boundary of Non-Smooth Domain." Electron. J. Probab. 11 563 - 584, 2006. https://doi.org/10.1214/EJP.v11-339

Information

Accepted: 2 August 2006; Published: 2006
First available in Project Euclid: 31 May 2016

MathSciNet: MR2242656
Digital Object Identifier: 10.1214/EJP.v11-339

Subjects:
Primary: 60H15
Secondary: 35R60

Keywords: SPDEs degenerating on the boundary , weighted Sobolev spaces

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