Spectral concentration phenomena for the Laplace operator with the Dirichlet boundary condition on a cavity

DOI10.1017/S030821050000398XzbMath1099.35072OpenAlexW2118524854MaRDI QIDQ5316037

Maria Cristina Recchioni, Francesco Zirilli, Graziella Pacelli, Antonio Boccuto

Publication date: 12 September 2005

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050000398x

zbMATH Keywords

convergencespectrumLaplace operatorspectral measuredomain with cavity

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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