On the Dirichlet Problem for Backward Parabolic Stochastic Partial Differential Equations in General Smooth Domains

Details On the Dirichlet Problem for Backward Parabolic Stochastic Partial Differential Equations in General Smooth Domains On the Dirichlet Problem for Backward Parabolic Stochastic Partial Differential Equations in General Smooth Domains

2009-10-13

arxiv.org/abs/0910.2289v3

Mathematics

Probability

28 pages

Scientific paper

Backward stochastic partial differential equations of parabolic type with
variable coefficients are considered in smooth domains. Existence and
uniqueness results are given in weighted Sobolev spaces allowing the
derivatives of the solutions to blow up near the boundary.

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