Abstract.
Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.
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The author is sincerely grateful to Prof. N.V. Krylov for his valuable suggestions.
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Mathematics Subject Classification (2000): 60H15, 35R60
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Kim, KH. On L p -theory of stochastic partial differential equations of divergence form in C1 domains. Probab. Theory Relat. Fields 130, 473–492 (2004). https://doi.org/10.1007/s00440-004-0368-5
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DOI: https://doi.org/10.1007/s00440-004-0368-5