Eigenvalues of the Laplacian for the third boundary value problem: An extension to higher dimensions

DOI10.1016/0022-247X(88)90387-3zbMath0652.35093MaRDI QIDQ1107038

Elsayed M. E. Zayed

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviourtrace functionimpedance problemspectrum of eigenvalues

Mathematics Subject Classification ID

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

Related Items (6)

On hearing the shape of rectilinear regions ⋮ Hearing the shape of a general doubly-connected domain in \(\mathbb{R}^ 3\) with mixed boundary conditions ⋮ Higher dimensional inverse problem of the wave equation for a bounded domain with mixed boundary conditions ⋮ Hearing the shape of a general doubly connected domain in R3 with impedance boundary conditions ⋮ An inverse problem of the wave equation for a general annular drum in \({\mathbb R}^3\) with Robin boundary conditions ⋮ The 3D inverse problem for waves with fractal and general annular bounded domain with piecewise smooth Robin boundary

Cites Work

• An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Eigenvalues of the Laplacian: an Extension to Higher Dimensions
• Can One Hear the Shape of a Drum?
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