A revisit to -theory of super-parabolic backward stochastic partial differential equations in
Kai Du and
Qingxin Meng
Stochastic Processes and their Applications, 2010, vol. 120, issue 10, 1996-2015
Abstract:
Backward stochastic partial differential equations of parabolic type with variable coefficients are considered in the whole Euclidean space. Improved existence and uniqueness results are given in the Sobolev space Hn () under weaker assumptions than those used by X. Zhou [X. Zhou, A duality analysis on stochastic partial differential equations, J. Funct. Anal. 103 (1992) 275-293]. As an application, a comparison theorem is obtained.
Keywords: Backward; stochastic; partial; differential; equations; Cauchy; problems; Sobolev; spaces (search for similar items in EconPapers)
Date: 2010
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