An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications.

DOI10.1016/S0096-3003(01)00045-5zbMath1033.35147OpenAlexW2070326089MaRDI QIDQ1855696

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)00045-5

zbMATH Keywords

mixed boundary conditionsheat kernelinverse spectral problemideal gaseigenvalues of the negative Laplacianannular-bounded domainsmooth inner boundarysmooth outer 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)

Short-time asymptotics of the two-dimensional wave equation for an annular vibrating membrane with applications in the mathematical physics ⋮ An inverse problem for a general vibrating annular membrane in \(\mathbb R^ 3\) with its physical applications: further results.

Cites Work

• Hearing the shape of a general convex domain
• Heat equation for an arbitrary doubly-connected region in \(R^ 2\) with mixed boundary conditions
• An inverse eigenvalue problem for a general convex domain
• Can one hear the dimension of a fractal?
• The asymptotics of the heat equation for a boundary value problem
• An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\)
• 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
• The spectral function of an elliptic operator
• 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
• A study of certain Green's functions with applications in the theory of vibrating membranes
• Heat Equation for an Arbitrary Multiply-Connected Region in R² with Impedance Boundary Conditions
• An inverse problem for a general convex domain with impedance boundary conditions
• 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
• One cannot hear the shape of a drum
• On hearing the shape of an arbitrary doubly-connected region in R²
• An inverse problem for a general multiply connected bounded domain
• On hearing the shape of a bounded domain with Robin boundary conditions
• Can One Hear the Shape of a Drum?
• The asymptotics of the heat semigroup for a general bounded domain with mixed boundary conditions
• The wave equation approach to the two-dimensional inverse problem for a general bounded domain with piecewise smooth mixed boundary conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications.