Estimates for the Counting Function of the Laplace Operator on Domains with Rough Boundaries

DOI10.1007/978-1-4419-1345-6_9zbMath1186.35125OpenAlexW2157372160MaRDI QIDQ5188068

Yu. G. Safarov, Yuri Netrusov

Publication date: 10 March 2010

Published in: Around the Research of Vladimir Maz'ya III (Search for Journal in Brave)

Full work available at URL: https://research-information.bris.ac.uk/ws/files/15663292/Netrusov_4.pdf

zbMATH Keywords

Laplace operatorDirichlet LaplacianWeyl formulaNeumann Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Variational methods for second-order elliptic equations (35J20)

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