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 Electronic Journal of Probability > Vol. 11 (2006) > Paper 23 open journal systems 


Parabolic SPDEs degenerating on the boundary of non-smooth domain

Kyeong-Hun Kim, Korea University


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"older estimates of the solutions are presented.


Full text: PDF

Pages: 563-584

Published on: August 2, 2006


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Electronic Journal of Probability. ISSN: 1083-6489