Asymptotics of the heat equation with ‘exotic’ boundary conditions or with time dependent coefficients

The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.

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Bibliographic Details
Published inNuclear physics. Section B, Proceedings supplement Vol. 104; no. 1; pp. 63 - 70
Main Authors Gilkey, Peter B., Kirsten, Klaus, Park, JeongHyeong, Vassilevich, Dmitri
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2002
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Summary:The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.
ISSN:0920-5632
1873-3832
DOI:10.1016/S0920-5632(01)01595-X