Dirichlet and Neumann heat invariants for Euclidean balls

Michael Levitin

Research output: Contribution to journalArticle

Abstract

Using the theory of heat invariants we present an efficient and economical method of obtaining the higher coefficients of the asymptotic expansion of the trace of the heat semigroup for the Dirichlet and (generalized) Neumann Laplacians acting on an m-dimensional ball. The results are presented in the form of explicit formulae for the first 10 coefficients as functions of m.

Original languageEnglish
Pages (from-to)35-46
Number of pages12
JournalDifferential Geometry and its Applications
Volume8
Issue number1
DOIs
Publication statusPublished - Feb 1998

Fingerprint

Dirichlet
Euclidean
Ball
Heat
Heat Semigroup
Invariant
Coefficient
Asymptotic Expansion
Explicit Formula
Trace
Form

Keywords

  • Asymplotics
  • Heat equation
  • Laplacian
  • Partition function
  • Spectral invariants

Cite this

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Dirichlet and Neumann heat invariants for Euclidean balls. / Levitin, Michael.

In: Differential Geometry and its Applications, Vol. 8, No. 1, 02.1998, p. 35-46.

Research output: Contribution to journalArticle

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