Heat trace asymptotics and boundedness in the second order Sobolev space of isospectral potentials for the Dirichlet Laplacian

DOI10.3233/ASY-141277zbMath1322.35104OpenAlexW1656427781MaRDI QIDQ5261147

Laurent Kayser, Mourad Choulli, Eric Soccorsi, Yavar Kian

Publication date: 1 July 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-141277

zbMATH Keywords

Dirichlet Laplacianheat kernel asymptoticsisospectral potentials

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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