Higher dimensional inverse problem of the wave equation for a bounded domain with mixed boundary conditions

DOI10.1016/S0960-0779(00)00143-0zbMath0993.35088OpenAlexW2028537397WikidataQ126591900 ScholiaQ126591900MaRDI QIDQ5950580

I. H. Abdel-Halim

Publication date: 2 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00143-0

zbMATH Keywords

volumemean curvaturespectral functionsurface areaGaussian curvaturebounded domaineigenvalues 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)

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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. ⋮ Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions. ⋮ The 3D inverse problem for waves with fractal and general annular bounded domain with piecewise smooth Robin boundary

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