Homogenization of semilinear periodic parabolic PDEs with Reflecting boundary condition

Alassane Diédhiou, Ibrahima Sane, Alioune Coulibaly · SAPS EDITIONS eBooks · 2018

We establish homogenization results for semilinear partial differential equations (PDEs) on the half space according to the reflecting Neumann boundary condition and highly oscillating coefficients. Our method is based on the martingale property of the stochastic exponential and Girsanov transformation.

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