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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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Citations: View citations in EconPapers (2)

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