On Yau’s conjecture for the Dirichlet Laplacian in C^1 domains
Prof Eugenia Malinnikova (Stanford)
12-Feb-2021, 15:00-16:00 (3 years ago)
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..
analysis of PDEs
Audience: researchers in the topic
Open PDE and analysis seminar and lectures
Organizers: | Benoit Pausader*, Clement Mouhot*, Ivan Moyano, Thomas Alazard, Nicolas Burq*, Marjolaine Puel |
*contact for this listing |
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