An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions.

DOI10.1007/BF02936184zbMath1055.35145MaRDI QIDQ1432803

Elsayed M. E. Zayed

Publication date: 22 June 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

spectral functionheat kernelinverse eigenvalue problemeigenvalues of the negative Laplacianpiecewise smooth boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (4)

An inverse eigenvalue problem of the wave equation for a multi-connected region in \(\mathbb{R}^{2}\) together with three different types of boundary conditions ⋮ The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in \({\mathbb R}^{3}\) with Robin conditions. ⋮ Solutions to \(m\)-point boundary value problems of third order ordinary differential equations at resonance ⋮ 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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