On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions

DOI10.1080/00036810108840957zbMath1020.35122OpenAlexW2034347629WikidataQ58250788 ScholiaQ58250788MaRDI QIDQ3152156

Elsayed M. E. Zayed

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840957

zbMATH Keywords

eigenvaluesmixed boundary conditionsheat kernelideal gasmulti-connected domainpiecewise smoothnegative LaplacianDirichlet, Neumann and Robin boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (1)

The 3D inverse problem of the wave equation for a general multi-connected vibrating membrane with a finite number of piecewise smooth boundary conditions.

Cites Work

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• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Can One Hear the Shape of a Drum?
• The asymptotics of the heat semigroup for a general bounded domain with mixed boundary conditions
• An inverse problem of the heat equation for a general multi-connected drum with applications in physics.

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