An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications.
type: Item
instance of: scholarly article
title: An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications.
zbMATH Open document ID: 1033.35147
DOI: 10.1016/S0096-3003(01)00045-5
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35P20
zbMATH DE Number: 1861091
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: heat kernel
zbMATH Keywords: ideal gas
zbMATH Keywords: eigenvalues of the negative Laplacian
zbMATH Keywords: annular-bounded domain
zbMATH Keywords: smooth inner boundary
zbMATH Keywords: smooth outer boundary
author: Elsayed M. E. Zayed
MaRDI profile type: Publication
cites work: Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
cites work: Q4115481
cites work: Can one hear the dimension of a fractal?
cites work: Q5823354
cites work: One cannot hear the shape of a drum
cites work: Eigenvalues of the Laplacian with Neumann boundary conditions
cites work: The spectral function of an elliptic operator
cites work: Can One Hear the Shape of a Drum?
cites work: Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
cites work: Curvature and the eigenvalues of the Laplacian
cites work: A study of certain Green's functions with applications in the theory of vibrating membranes
cites work: An inverse eigenvalue problem for a general convex domain
cites work: The asymptotics of the heat equation for a boundary value problem
cites work: Q5624800
cites work: An inverse problem of the wave equation for a general annular drum in \({\mathbb R}^3\) with Robin boundary conditions
cites work: The 3D inverse problem for waves with fractal and general annular bounded domain with piecewise smooth Robin boundary
cites work: The wave equation approach to the two-dimensional inverse problem for a general bounded domain with piecewise smooth mixed boundary conditions
cites work: An inverse problem for a general convex domain with impedance boundary conditions
cites work: Hearing the shape of a general convex domain
cites work: Heat equation for an arbitrary doubly-connected region in \(R^ 2\) with mixed boundary conditions
cites work: On hearing the shape of an arbitrary doubly-connected region in R2
cites work: Heat Equation for an Arbitrary Multiply-Connected Region in R2 with Impedance Boundary Conditions
cites work: An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\)
cites work: An inverse problem for a general multiply connected bounded domain
cites work: Q4876871
cites work: Short-time asymptotics of the heat kernel of the Laplacian of a bounded domain with Robin boundary conditions
cites work: Q4243322
cites work: On hearing the shape of a bounded domain with Robin boundary conditions
cites work: The asymptotics of the heat semigroup for a general bounded domain with mixed boundary conditions
full work available at URL: s0096-3003(01)00045-5
OpenAlex ID: W2070326089
description: scientific article; zbMATH DE number 1861091