Perturbation of domains and Green kernels of heat equations. III

DOI10.3792/pjaa.55.227zbMath0459.35003OpenAlexW4249927172MaRDI QIDQ1152022

Shin Ozawa

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.227

zbMATH Keywords

heat equationfundamental solutionDirichlet boundary conditionsrepresentation formulaGreen kernelsecond domain variation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Heat equation (35K05) Integral representations of solutions to PDEs (35C15)

Cites Work

• Perturbation of domains and Green kernels of heat equations
• Remarks on Hadamard's variation of eigenvalues of the Laplacian
• Convexity of domain functionals

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