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

DOI10.1007/S10114-004-0514-0zbMath1088.35557OpenAlexW1994262139MaRDI QIDQ2581201

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0514-0

zbMATH Keywords

Green's function Inverse problem Eigenvalues Heat kernel Multi-connected vibrating membrane Negative Laplacian Wave kernel

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
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
Hearing the shape of a general doubly-connected domain in $\mathbb{R}^ 3$ with mixed boundary conditions
Inverse problems for a general multi-connected bounded drum with applications in physics.
The wave equation approach for solving inverse eigenvalue problems of a multi-connected region in ${\mathbb R}^{3}$ with Robin conditions.
An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions.
Inverse problem for a general bounded domain in $\mathbb{R}^3$ with piecewise smooth mixed boundary conditions
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
An inverse eigenvalue problem for a general convex domain: an extension to higher dimensions
An inverse problem for a general vibrating annular membrane in $\mathbb R^ 3$ with its physical applications: further results.
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.
Higher dimensional inverse problem of the wave equation for a general multi-connected bounded domain with a finite number of smooth mixed boundary conditions.
The asymptotics of the two-dimensional wave equation for a general multi-connected vibrating membrane with piecewise smooth Robin boundary conditions
The spectral function of an elliptic operator
Curvature and the eigenvalues of the Laplacian
On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions
Eigenvalues of the Laplacian with Neumann boundary conditions
An Inverse Eigenvalue Problem for an Arbitrary, Multiply Connected, Bounded Domain in $R^3 $ with Impedance Boundary Conditions
One cannot hear the shape of a drum
An inverse problem for a general doubly connected bounded domain in R³with a Finite Number of Piecewise Impedance Boundary Conditions
An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions
Does diffusion determine the body?
Hearing the shape of a general doubly connected domain in R3 with impedance boundary conditions
On hearing the shape of a bounded domain with Robin boundary conditions
Can One Hear the Shape of a Drum?
Short-time asymptotics of the trace of the wave operator for a general annular drum in $\mathbb{R}^2$ with Robin boundary conditions.
The wave equation approach to an inverse eigenvalue problem for an arbitrary multiply connected drum in $\mathbb R^2$ with Robin boundary conditions.
Higher dimensional inverse problem of the wave equation for a bounded domain with mixed boundary conditions

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