Lower Bounds on Nodal Sets of Eigenfunctions via the Heat Flow

DOI10.1080/03605302.2014.942739zbMath1304.35455arXiv1301.3371OpenAlexW2069905133MaRDI QIDQ2931983

Stefan Steinerberger

Publication date: 28 November 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3371

zbMATH Keywords

eigenfunctionsLaplacianheat flownodal setsYau conjecture

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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