Boundary Layers in Periodic Homogenization
Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017
Location: MSRI: Simons Auditorium
partial differential equations
boundary value problem
35J57 - Boundary value problems for second-order elliptic systems
35B27 - Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50]
This talk is concerned with a family of elliptic systems in divergence form with rapidly oscillating periodic coefficients. I will discuss recent progress on homogenization and boundary layers for Dirichlet and Neumann problems with oscillating boundary data. The problems arise naturally in the study of higher-order convergence of solutions to boundary value problems with non-oscillating data. The use of harmonic analysis techniques in obtaining sharp estimates will be highlighted
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