Some applications of heat flow to Laplace eigenfunctions

DOI10.1080/03605302.2021.1998909zbMath1487.58022arXiv2109.00710OpenAlexW3217653923MaRDI QIDQ5074359

Mayukh Mukherjee, Bogdan Georgiev

Publication date: 9 May 2022

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

Full work available at URL: https://arxiv.org/abs/2109.00710

zbMATH Keywords

heat equationBrownian motionmass concentrationavoided crossingsLaplace eigenfunctionnodal geometry

Mathematics Subject Classification ID

Heat equation (35K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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