An inverse problem for a general multiply connected bounded domain

DOI10.1080/00036819508840394zbMath0845.35134OpenAlexW1987247739MaRDI QIDQ4855054

Elsayed M. E. Zayed

Publication date: 19 May 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840394

zbMATH Keywords

inverse problemeigenvaluesLaplace operatorspectral functionNeumann conditionsimpedancemultiply connected bounded domain

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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 (12)

An inverse eigenvalue problem of the wave equation for a multi-connected region in \(\mathbb{R}^{2}\) together with three different types of boundary conditions ⋮ The asymptotics of the two-dimensional wave equation for a general multi-connected vibrating membrane with piecewise smooth Robin boundary conditions ⋮ The wave equation approach to an inverse problem for a general multi-connected domain in \(\mathbb{R}^{2}\) with mixed boundary conditions. ⋮ Inverse problems for a general multi-connected bounded drum with applications in physics. ⋮ Short-time asymptotics of the two-dimensional wave equation for an annular vibrating membrane with applications in the mathematical physics ⋮ Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain inR²with Robin Boundary Conditions ⋮ Short-time asymptotics of the heat kernel on bounded domain with piecewise smooth boundary conditions and its applications to an ideal gas ⋮ An inverse problem of the heat equation for a general multi-connected drum with applications in physics. ⋮ Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain inR²with Robin Boundary Conditions ⋮ An inverse problem for a general annular-bounded domain in \(\mathbb R^ 2\) with mixed boundary conditions and its physical applications. ⋮ 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 3D inverse problem for waves with fractal and general annular bounded domain with piecewise smooth Robin boundary

Cites Work

• Heat equation for an arbitrary doubly-connected region in \(R^ 2\) with mixed boundary conditions
• An inverse eigenvalue problem for a general convex domain
• The asymptotics of the heat equation for a boundary value problem
• An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\)
• 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
• Eigenvalues of the Laplacian with Neumann boundary conditions
• On hearing the shape of an arbitrary doubly-connected region in R²
• Can One Hear the Shape of a Drum?

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