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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 4, Pages 54–64
DOI: https://doi.org/10.4213/faa3014 (Mi faa3014) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions

Yu. G. Safarova, N. D. Filonovb

a Department of Mathematics, King's College London
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/faa3014
Abstract: The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference $N_\mathrm{N}(\lambda)-N_\mathrm{D}(\lambda)$ of counting functions are discussed.
Keywords: Dirichlet and Neumann eigenvalues, counting function, boundary value problem.
Received: 01.01.2010
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 4, Pages 286–294
DOI: https://doi.org/10.1007/s10688-010-0039-5
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Yu. G. Safarov, N. D. Filonov, “Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 54–64; Funct. Anal. Appl., 44:4 (2010), 286–294
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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