Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition
نویسندگان
چکیده
منابع مشابه
Homogenization of periodic linear degenerate PDEs
It is well-known under the name of ‘periodic homogenization’ that, under a centering condition of the drift, a periodic diffusion process on R converges, under diffusive rescaling, to a d-dimensional Brownian motion. Existing proofs of this result all rely on uniform ellipticity or hypoellipticity assumptions on the diffusion. In this paper, we considerably weaken these assumptions in order to ...
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In this paper a second order semilinear parabolic PDE with rapidly oscillating coefficients is homogenized. The novelty of our result lies in the fact that we allow the second order part of the differential operator to be degenerate in some part of Rd . Our fully probabilistic method is based on the deep connection between PDEs and BSDEs and the weak convergence of a class of diffusion processe...
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(a) LERSTAD, UFR S.A.T, Université Gaston Berger, BP 234, Saint-Louis, SENEGAL. email : [email protected] (b) CEREMADE, Université Paris-Dauphine, Place du maréchal De Lattre de Tassigny, 75775 Paris cedex 16, FRANCE. email : [email protected] (c) CMI, LATP-UMR 6632, Université de Provence, 39 rue F. Joliot Curie, 13453 Marseille cedex 13, FRANCE. email : [email protected] Abstr...
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ژورنال
عنوان ژورنال: Partial Differential Equations in Applied Mathematics
سال: 2021
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2021.100021