Calculus of Variations and Geometric Measure Theory
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Fourier Rearrangement: Symmetry results for PDEs of arbitrary order

Enno Lenzmann

created by gelli on 06 May 2021
modified on 17 May 2021

19 may 2021 -- 17:00   [open in google calendar]

Dipartimento di Matematica di Pisa (online)

Abstract.

In this talk, I will give an introduction to the method of Fourier rearrangements. This is a new method for proving optimal symmetry results for minimizers of variational problems involving (pseudo-)differential operators. In particular, we can address problems which have been out of scope by classical rearrangement techniques (e.g. Schwarz symmetrization, Polya-Szegö inequality, Talenti's principle etc.) The talk is intended for non-specialists and is based on joint work with Jérémy Sok.

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