Analysis and PDE Seminar

04/29/2014 - 11:09am to 12:00pm
745 Patterson Office Tower
Speaker(s) / Presenter(s): 
Christophe Prange, University of Chicago

Title:  Uniform estimates in homogenization and applications

Abstract:  In a seminal paper of 1987, M. Avellaneda and F.H. Lin have introduced a powerfull method to show uniform Hölder and Lipschitz estimates for elliptic systems with oscillating coefficients. In this talk, I will investigate some consequences of these estimates for the large scale behavior of potentials and the asymptotics of boundary layers in homogenization. I will also address a generalization of the Lipschitz estimate to domains with oscillating boundary. The latter is a joint work with C. Kenig.

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