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Homogenization of problems in $^\infty$

  • Adriana Garroni (Universita di Roma La Sapienza)
A3 01 (Sophus-Lie room)

Abstract

We study the homogenization of functionals of the form

displaymath10

These functionals are related to a model of dielectric

breackdown and can be used as a variational approximation of

power-law energies. We compute optimal bounds in the case of

the mixtures of two materials, which exhibit a different

structure from the integral case.

We prove a homogenization theorem in a general context and compare it

with the corresponding result for the integral case.

seminar
4/18/24 5/30/24

Oberseminar Analysis

Universität Leipzig Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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