On Recovering the Shape of a Domain from the Trace of the Heat Kernel

DOI10.1137/S0036139903424928zbMath1096.35058arXivmath-ph/0501008MaRDI QIDQ5470267

Alexander Spivak, Zeev Schuss

Publication date: 30 May 2006

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501008

zbMATH Keywords

eigenvaluestraceheat kernelshort-time asymptotics

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Fundamental solutions to PDEs (35A08) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20)

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