An inverse problem of the wave equation for a general annular drum in \({\mathbb R}^3\) with Robin boundary conditions

DOI10.1016/S0960-0779(00)00164-8zbMath0991.35112WikidataQ126556637 ScholiaQ126556637MaRDI QIDQ1600449

I. H. Abdel-Halim, Elsayed M. E. Zayed

Publication date: 13 June 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

volumemean curvaturespectral functionRobin boundary conditionssurface areainverse eigenvalue problemGaussian curvatureeigenvalues of the negative Laplacian

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05) Integral geometry (53C65)

Related Items

The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in \({\mathbb R}^{3}\) with Robin conditions. ⋮ An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions. ⋮ Short-time asymptotics of the heat kernel on bounded domain with piecewise smooth boundary conditions and its applications to an ideal gas ⋮ The 3D inverse problem of the wave equation for a general multi-connected vibrating membrane with a finite number of piecewise smooth boundary conditions. ⋮ An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications. ⋮ Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions.

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