Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions.

DOI10.1016/S0096-3003(02)00025-5zbMath1033.35152OpenAlexW1991714651MaRDI QIDQ1856023

Elsayed M. E. Zayed

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00025-5

zbMATH Keywords

wave equationGreen's functionspectral functioninverse spectral problemeigenvalues of the negative Laplacianmulti-connected domainfractal boundary

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05)

Related Items (2)

The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in \({\mathbb R}^{3}\) with Robin 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.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions
• Isospectral Riemann surfaces
• Can one hear the dimension of a fractal?
• Hearing the shape of a general doubly-connected domain in \(\mathbb{R}^ 3\) with mixed boundary conditions
• Inverse problem for a general bounded domain in \(\mathbb{R}^3\) with piecewise 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
• An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
• An inverse problem of the wave equation for a general doubly connected region in \(\mathbb R^2\) with a finite number of piecewise smooth Robin boundary conditions.
• The spectral function of an elliptic operator
• Curvature and the eigenvalues of the Laplacian
• Eigenvalues of the Laplacian with Neumann boundary conditions
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• An Inverse Eigenvalue Problem for an Arbitrary, Multiply Connected, Bounded Domain in $R^3 $ with Impedance Boundary Conditions
• One cannot hear the shape of a drum
• An inverse problem for a general doubly connected bounded domain in R³with a Finite Number of Piecewise Impedance Boundary Conditions
• Hearing the shape of a general doubly connected domain in R3 with impedance boundary conditions
• Bounded domains which are isospectral but not congruent
• On hearing the shape of a bounded domain with Robin boundary conditions
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Can One Hear the Shape of a Drum?
• Short-time asymptotics of the trace of the wave operator for a general annular drum in \(\mathbb{R}^2\) with Robin boundary conditions.
• The wave equation approach to an inverse eigenvalue problem for an arbitrary multiply connected drum in \(\mathbb R^2\) with Robin boundary conditions.
• Higher dimensional inverse problem of the wave equation for a bounded domain with mixed boundary conditions

This page was built for publication: Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions.