Seminar series
Date
Thu, 20 Feb 2014
Time
13:00 -
14:00
Location
L6
Speaker
Diogo Oliveira e Silva
Organisation
Universitat Bonn
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.