On hearing the shape of a general multi-connected vibrating membrane in \(\mathbb R^2\) with piecewise smooth positive functions in the Robin boundary conditions.

DOI10.1016/S0096-3003(01)00337-XzbMath1135.35369MaRDI QIDQ1855994

Elsayed M. E. Zayed

Publication date: 28 January 2003

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

zbMATH Keywords

Inverse problemEigenvaluesHeat kernelClassical ideal gasHearing the shape of multi-connected domain

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Isospectrality (58J53)

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