Higher dimensional inverse problem for a multi-connected bounded domain with piecewise smooth Robin boundary conditions and its physical applications.

DOI10.1016/S0096-3003(02)00413-7zbMath1033.35151WikidataQ124878901 ScholiaQ124878901MaRDI QIDQ1405067

Elsayed M. E. Zayed

Publication date: 25 August 2003

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

zbMATH Keywords

heat kernelinverse eigenvalue problemideal gasdomain reconstructioneigenvalues of the negative Laplace operatormultiply-connected bounded domainpiecewise smooth Robin boundary conditions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isospectral Riemann surfaces
• 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 eigenvalue problem for a general convex domain: an extension to higher dimensions
• An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions.
• Curvature and the eigenvalues of the Laplacian
• Eigenvalues of the Laplacian: 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
• One cannot hear the shape of a drum
• 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?

This page was built for publication: Higher dimensional inverse problem for a multi-connected bounded domain with piecewise smooth Robin boundary conditions and its physical applications.