The 3D inverse problem for waves with fractal and general annular bounded domain with piecewise smooth Robin boundary

DOI10.1016/S0960-0779(00)00197-1zbMath0991.35113MaRDI QIDQ1600451

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 (5)

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. ⋮ 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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