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SUMMARY:Prof Eugenia Malinnikova (Stanford)
DTSTART:20210212T150000Z
DTEND:20210212T160000Z
DTSTAMP:20260423T021004Z
UID:OpenPDEA/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OpenPDEA/2/"
 >On Yau’s conjecture for the Dirichlet Laplacian in C^1 domains</a>\nby 
 Prof Eugenia Malinnikova (Stanford) as part of Open PDE and analysis semin
 ar and lectures\n\n\nAbstract\nLet D be a bounded domain in R^n with C^1 b
 oundary and let u be a Dirichlet Laplace eigenfunction in D with eigenvalu
 e 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 w
 ork of Donnelly and Fefferman. The talk is based on a joint work with A. L
 ogunov\, N. Nadirashvili\, and F. Nazarov..\n
LOCATION:https://researchseminars.org/talk/OpenPDEA/2/
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