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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.