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

Yu. G. Safarov; N. D. Filonov

doi:10.1007/s10688-010-0039-5

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

Yu. G. Safarov, N. D. Filonov

Steklov Math Inst, St Petersburg

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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-N(lambda) - N-D(lambda) of counting functions are discussed.

Original language	English
Pages (from-to)	286 - 294
Number of pages	9
Journal	Functional Analysis and its Applications
Volume	44
Issue number	4
DOIs	https://doi.org/10.1007/s10688-010-0039-5
Publication status	Published - 2010

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title = "Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions",

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-N(lambda) - N-D(lambda) of counting functions are discussed.",

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AU - Filonov, N. D.

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N2 - The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference N-N(lambda) - N-D(lambda) of counting functions are discussed.

AB - The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference N-N(lambda) - N-D(lambda) of counting functions are discussed.

U2 - 10.1007/s10688-010-0039-5

DO - 10.1007/s10688-010-0039-5

M3 - Article

VL - 44

SP - 286

EP - 294

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 4

ER -

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

Abstract

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