Higher order convergence rate in periodic homogenization for equations in non-divergence form

Homogenization and Random Phenomenon

13 November 15:00 - 15:55

Sunghan Kim - Seoul National University

In this talk, I will address recent achievement in higher order convergence rate in the theory of periodic homogenization of both linear and fully nonlinear uniformly elliptic equations of non-divergence form. The rates are achieved by involving higher order correctors which fix the errors occurring both in the interior and on the boundary layer of our physical domain. The proof is based on a viscosity method and a new regularity theory which captures the stability of the correctors with respect to the shape of our limit profile. This is a joint work with Ki-Ahm Lee.
Henrik Shahgholian
KTH Royal Institute of Technology
Panagiotis Souganidis
The University of Chicago


Henrik Shahgholian

Tel: 08-790 67 54


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