Seminario di Analisi: On extremizers for Fourier restriction inequalities (Diogo Oliveira e Silva)

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dalle 11:30 alle 13:00


Aula 5, Dipartimento di Matematica e Informatica

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speaker: Diogo Oliveira e Silva (Hausdorff Center for mathematics - Bonn)

title: "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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