S. Kesavan

Homogenization of an Optimal Control Problem

We consider an optimal control problem in which both the state equation and the cost functional have rapidly oscillating coefficients (characterized respectively by matrices

On some boundary element methods for the heat equation

A_\varepsilon

The Isoperimetric inequality

and

Hahn-Banach Theorems

B_\varepsilon

A potential method for the biharmonic equation

, where

Normed Linear Spaces

\varepsilon

The Brouwer Degree

is a small parameter). We make no periodicity assumption. We study the limit of the problem when

The Leray - Schauder Degree

\varepsilon \rightarrow 0

Application of Newton's method to a homogenization problem

and work in the framework of H-convergence. We prove that the limit satisfies a problem similar to the original one but with matrices

Topics in functional analysis and applications

A_0