Locally periodic homogenization

Article type: Research Article

Authors: Benchérif‐Madani, A. | Pardoux, É.^;

Affiliations: Université Ferhat Abbas, Fac. Sciences, Dépt. Maths., Sétif 19000, Algeria E‐mail: [email protected] | CMI, LATP – CNRS and Université de Provence, 39, rue F. Joliot Curie, 13453 Marseille cedex 13, France E‐mail: [email protected]‐mrs.fr URL: http://www.cmi.univ‐mrs.fr/˝pardoux

Note: [] Corresponding author.

Abstract: In this paper, two linear second PDEs are homogenized. The coefficients are supposed to be locally periodic, Lipschitz and bounded. Compared to our previous work [1], we provide a new and simpler proof and weaken the hypotheses of the main theorem. We use both probabilistic and analytic arguments.

Keywords: homogenization, parabolic PDE, Poisson equation, diffusion approximation

Journal: Asymptotic Analysis, vol. 39, no. 3-4, pp. 263-279, 2004