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Open PDE & Analysis Seminar and Lectures

Prof Eugenia Malinnikova (Stanford University)

On Yau’s conjecture for the Dirichlet Laplacian in C^1 domains.

12th February 2021, 4pm (Paris time)

Abstract : Let D be a bounded domain in R^n with C^1 boundary and let u be a Dirichlet Laplace eigenfunction in D with eigenvalue λ. We show that the (n − 1)-dimensional Hausdorff measure of the zero set of u does not exceed C√λ. The opposite estimate follows from the work of Donnelly and Fefferman. The talk is based on a joint work with A. Logunov, N. Nadirashvili, and F. Nazarov..



Zoom link

This is the link to this talk: TBA

https://univ-cotedazur.zoom.us/j/89934300280?pwd=SzRTOVZZV1ZOY1JBeGU4T2NndkV2UT09
Meeting ID: 899 3430 0280
Acces code: 799851.



Organisers

Thomas Alazard (ENS Paris-Saclay)     Nicolas Burq (Orsay)     Clément Mouhot (Cambridge)
Iván Moyano (Nice)     Benoit Pausader (Brown)     Marjolaine Puel (Cergy-Pontoise)