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Analysis, Geometry, and Dynamical Systems Seminar     xml

Next session

23/04/2014, 15:00 — Room P3.10, Mathematics Building
Diogo Oliveira e Silva, Hausdorff Center for Mathematics da Universidade de Bona

On extremizers for Fourier restriction inequalities

This talk will focus on extremizers for a family of Fourier restriction inequalities on planar curves. It turns out that, depending on whether or not a certain geometric condition related to the curvature is satisfied, extremizing sequences of nonnegative functions may or may not have a subsequence which converges to an extremizer. We hope to describe the method of proof, which is of concentration compactness flavor, in some detail. Tools include bilinear estimates, a variational calculation, a modification of the usual method of stationary phase and several explicit computations.

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