Homogenization of a singular random one-dimensional PDE

Details Homogenization of a singular random one-dimensional PDE Homogenization of a singular random one-dimensional PDE

2008-06-16

arxiv.org/abs/0806.2518v1

Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2008, Vol. 44, No. 3, 519-543

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AIHP134 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiqu

Scientific paper

10.1214/07-AIHP134

This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.

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