Wednesday, May 6, 2009. Minnesota PDE seminar

Speaker: Professor Pablo Pedregal, Universidad de Castilla - La Mancha

Title:  On a non-linear PDE arising in optimal design.

Abstract:  It is well-known that the limit problem, in the sense of homogenization, 
of a family of linear, uniformly  elliptic problems is also linear, elliptic in the context 
of G-convergence or H-convergence. Motivated by typical  situations of optimal design problems 
governed by diffusion equations, we will take a slightly (but intimately  connected) perspective,  
leading to a non-linear limit  problem. The aim of this talk is to explain how this limit  problem 
arises within the framework of optimal design. We will also say a few words about 
the corresponding hyperbolic situation.

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