An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions.

DOI10.1016/S0096-3003(01)00209-0zbMath1033.35149OpenAlexW2094108651MaRDI QIDQ1855855

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(01)00209-0

zbMATH Keywords

Robin boundary conditionsinverse spectral problemheat semigroupideal gaseigenvalues of the negative Laplacianmulti-connected vibrating membrane

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Curvature and the eigenvalues of the Laplacian
• Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
• Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain inR²with Robin Boundary Conditions
• 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
• An inverse problem for a general doubly connected bounded domain in R³with a Finite Number of Piecewise Impedance Boundary Conditions
• 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
• An inverse problem for a general multiply connected bounded domain: an extension to higher dimensions
• 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?
• The asymptotics of the heat semigroup for a general bounded domain with mixed boundary conditions

This page was built for publication: An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions.