Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity

Michel Chipot; Prosenjit Roy; Itai Shafrir

doi:https://doi.org/10.3233/ASY-131182

Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity

Michel Chipot, Prosenjit Roy, Itai Shafrir

Mathematics

Technion - Israel Institute of Technology

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

Abstract

We analyze the asymptotic behavior of eigenvalues and eigenfunctions of an elliptic operator with mixed boundary conditions on cylindrical domains when the length of the cylinder goes to infinity. We identify the correct limiting problem and show in particular, that in general the limiting behavior is very different from the one for the Dirichlet boundary conditions.

Original language	English
Pages (from-to)	199-227
Number of pages	29
Journal	Asymptotic Analysis
Volume	85
Issue number	3-4
DOIs	https://doi.org/10.3233/ASY-131182
State	Published - 2013

Keywords

Dimension reduction
Eigenvalue problem
ℓ goes to plus infinity

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.3233/ASY-131182

Cite this

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title = "Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity",

abstract = "We analyze the asymptotic behavior of eigenvalues and eigenfunctions of an elliptic operator with mixed boundary conditions on cylindrical domains when the length of the cylinder goes to infinity. We identify the correct limiting problem and show in particular, that in general the limiting behavior is very different from the one for the Dirichlet boundary conditions.",

keywords = "Dimension reduction, Eigenvalue problem, ℓ goes to plus infinity",

author = "Michel Chipot and Prosenjit Roy and Itai Shafrir",

year = "2013",

doi = "https://doi.org/10.3233/ASY-131182",

language = "الإنجليزيّة",

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journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "IOS Press BV",

number = "3-4",

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T1 - Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity

AU - Chipot, Michel

AU - Roy, Prosenjit

AU - Shafrir, Itai

PY - 2013

Y1 - 2013

N2 - We analyze the asymptotic behavior of eigenvalues and eigenfunctions of an elliptic operator with mixed boundary conditions on cylindrical domains when the length of the cylinder goes to infinity. We identify the correct limiting problem and show in particular, that in general the limiting behavior is very different from the one for the Dirichlet boundary conditions.

AB - We analyze the asymptotic behavior of eigenvalues and eigenfunctions of an elliptic operator with mixed boundary conditions on cylindrical domains when the length of the cylinder goes to infinity. We identify the correct limiting problem and show in particular, that in general the limiting behavior is very different from the one for the Dirichlet boundary conditions.

KW - Dimension reduction

KW - Eigenvalue problem

KW - ℓ goes to plus infinity

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U2 - https://doi.org/10.3233/ASY-131182

DO - https://doi.org/10.3233/ASY-131182

M3 - مقالة

SN - 0921-7134

VL - 85

SP - 199

EP - 227

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 3-4

ER -

Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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