Inverse problems for a general multi-connected bounded drum with applications in physics.

DOI10.1016/S0096-3003(02)00172-8zbMath1102.35367OpenAlexW1997336695MaRDI QIDQ1406183

Elsayed M. E. Zayed

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00172-8

zbMATH Keywords

inverse problemeigenvaluesheat kernelideal gasmulti-connected bounded domain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Initial value problems for PDEs with pseudodifferential operators (35S10) Heat kernel (35K08)

Related Items (1)

The 3D inverse problem of the wave equation for a general multi-connected vibrating membrane with a finite number of piecewise smooth boundary conditions.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions
• 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?
• Hearing the shape of a general doubly-connected domain in \(\mathbb{R}^ 3\) with mixed boundary conditions
• An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\)
• An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
• Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture
• 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
• 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
• On hearing the shape of an arbitrary doubly-connected region in R²
• 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
• 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?
• An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions

This page was built for publication: Inverse problems for a general multi-connected bounded drum with applications in physics.