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Reports (Research Report) Year : 2009

Stochastic representations of derivatives of solutions of one dimensional parabolic variational inequalities with Neumann boundary conditions

Abstract

In this paper we explicit the derivative of the flows of one dimensional reflected diffusion processes. We then get stochastic representations for derivatives of viscosity solutions of one dimensional semilinear parabolic partial differential equations and parabolic variational inequalities with Neumann boundary conditions.
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Dates and versions

inria-00381854 , version 1 (06-05-2009)
inria-00381854 , version 2 (06-05-2009)
inria-00381854 , version 3 (09-10-2009)
inria-00381854 , version 4 (20-01-2010)

Identifiers

  • HAL Id : inria-00381854 , version 4

Cite

Mireille Bossy, Mamadou Cissé, Denis Talay. Stochastic representations of derivatives of solutions of one dimensional parabolic variational inequalities with Neumann boundary conditions. [Research Report] RR-6921, INRIA. 2009, pp.45. ⟨inria-00381854v4⟩
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