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Hadamard's variation of the Green kernels of heat equations and their traces. I

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Publication:1160352
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DOI10.2969/jmsj/03430455zbMath0476.35039OpenAlexW2015543422MaRDI QIDQ1160352

Shin Ozawa

Publication date: 1982

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03430455

zbMATH Keywords

Dirichlet conditionHadamard variational formulafundamental solution of the heat equationthird boundary condition


Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Heat equation (35K05) Perturbations in context of PDEs (35B20)


Related Items

A mathematical analysis of Casimir interactions. I: The scalar field, Quantum ergodicity of boundary values of eigenfunctions, On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content, Remarks on Hadamard's variation of eigenvalues of the Laplacian, On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace, On the heat content functional and its critical domains, On existence and uniqueness of a global classical solution of the two- dimensional Euler equation in a time dependent domain



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