An inverse problem for a general doubly connected bounded domain in R3with a Finite Number of Piecewise Impedance Boundary Conditions

DOI10.1080/00036819708840524zbMath0873.35055OpenAlexW2078859309WikidataQ58270248 ScholiaQ58270248MaRDI QIDQ4345131

Elsayed M. E. Zayed

Publication date: 9 October 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840524

zbMATH Keywords

spectral functionheat kernel

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30)

Related Items (12)

On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions ⋮ The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in \({\mathbb R}^{3}\) with Robin conditions. ⋮ Asymptotic expansions of the heat kernel of the Laplacian for general annular bounded domains with Robin boundary conditions: Further results. ⋮ 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 ⋮ Higher dimensional inverse problem of the wave equation for a bounded domain with mixed 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 vibrating annular membrane in \(\mathbb R^ 3\) with its physical applications: further results. ⋮ An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin 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. ⋮ 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

• Hearing the shape of a general doubly-connected domain in \(\mathbb{R}^ 3\) with mixed boundary conditions
• An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
• Eigenvalues of the Laplacian with Neumann boundary conditions
• An Inverse Eigenvalue Problem for an Arbitrary, Multiply Connected, Bounded Domain in $R^3 $ with Impedance Boundary Conditions
• On the Θ-Function of a Riemannian Manifold with Boundary
• Heat equation for a general convex domain inR³with a finite number of piecewise impedance boundary conditions
• Hearing the shape of a general doubly connected domain in R3 with impedance boundary conditions

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