Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs (Q1964793)

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scientific article; zbMATH DE number 1406551
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Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs
scientific article; zbMATH DE number 1406551

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    Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs (English)
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    15 January 2001
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    For semilinear parabolic partial differential equations (PDEs) with periodic structures a problem of homogenization of viscosity solutions is considered. The tool is the nonlinear Feynman-Kac formula based on backward stochastic differential equations derived by Pardoux and Peng.
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    viscosity solutions
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    periodic structures
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    nonlinear Feynman-Kac formula
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