Inverse problems for a general multi-connected bounded drum with applications in physics. (Q1406183)

scientific article; zbMATH DE number 1978036

Language	Label	Description	Also known as
English	Inverse problems for a general multi-connected bounded drum with applications in physics.	scientific article; zbMATH DE number 1978036

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instance of

scholarly article

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title

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

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published in

Applied Mathematics and Computation

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publication date

9 September 2003

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zbMATH Keywords

inverse problem

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heat kernel

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eigenvalues

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ideal gas

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multi-connected bounded domain

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Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface

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Can one hear the dimension of a fractal?

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Fractal drums and the $n$-dimensional modified Weyl-Berry conjecture

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One cannot hear the shape of a drum

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Eigenvalues of the Laplacian with Neumann boundary conditions

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On the Θ-Function of a Riemannian Manifold with Boundary

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Can One Hear the Shape of a Drum?

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Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture

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Curvature and the eigenvalues of the Laplacian

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A study of certain Green's functions with applications in the theory of vibrating membranes

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Q5828238

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An inverse eigenvalue problem for a general convex domain

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Q5624800

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Q5683390

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Q4456896

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An inverse problem for a general convex domain with impedance boundary conditions

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An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions

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Heat equation for an arbitrary doubly-connected region in $R^ 2$ with mixed boundary conditions

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On hearing the shape of an arbitrary doubly-connected region in R2

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Heat Equation for an Arbitrary Multiply-Connected Region in R2 with Impedance Boundary Conditions

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Hearing the shape of a general doubly connected domain in R3 with impedance boundary conditions

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An inverse eigenvalue problem for an arbitrary multiply connected bounded region in $R^ 2$

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Hearing the shape of a general doubly-connected domain in $\mathbb{R}^ 3$ with mixed boundary conditions

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An Inverse Eigenvalue Problem for an Arbitrary, Multiply Connected, Bounded Domain in $R^3 $ with Impedance Boundary Conditions

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An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions

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An inverse problem for a general multiply connected bounded domain

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Short-time asymptotics of the heat kernel of the Laplacian of a bounded domain with Robin boundary conditions

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An inverse problem for a general multiply connected bounded domain: an extension to higher dimensions

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On hearing the shape of a bounded domain with Robin boundary conditions

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An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions

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full work available at URL

https://doi.org/10.1016/s0096-3003(02)00172-8

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Identifiers

zbMATH Open document ID

1102.35367

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DOI

10.1016/S0096-3003(02)00172-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1406183