Homogenization for semi-linear PDE with discontinuous coefficients - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2008

Homogenization for semi-linear PDE with discontinuous coefficients

Résumé

We study the asymptotic behavior of the solution of semi-linear PDEs. Neither periodicity nor ergodicity assumptions are assumed. The coefficients admit only a limit in a Cesaro sense. In such a case, the limit coefficients may have discontinuity. We use probabilistic approach based on weak convergence techniques for the associated backward stochastic differential equation in the S-topology. We establish weak continuity for the flow of the limit diffusion process and related the PDE limit to the backward stochastic differential equation via the representation of Lp-viscosity solution.
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Dates et versions

hal-00266406 , version 1 (23-03-2008)
hal-00266406 , version 2 (08-07-2008)

Identifiants

Citer

Khaled Bahlali, Abouo Elouaflin, E. Pardoux. Homogenization for semi-linear PDE with discontinuous coefficients. 2008. ⟨hal-00266406v1⟩
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