Irregular but nonfractal drums andn-dimensional weyl conjecture

DOI10.1007/BF02274059zbMath0828.35093WikidataQ114018440 ScholiaQ114018440MaRDI QIDQ4843118

Hua Chen

Publication date: 6 September 1995

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

zbMATH Keywords

spectral invariantirregular boundary

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Asymptotic behaviour of the phase in non-smooth obstacle scattering

Cites Work

• Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
• A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• Can One Hear the Shape of a Drum?
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