Estimates of eigenvalues and eigenfunctions in periodic homogenization

Carlos E. Kenig; Fanghua Lin; Zhongwei Shen

doi:10.4171/JEMS/408

Estimates of eigenvalues and eigenfunctions in periodic homogenization

Carlos E. Kenig, Fanghua Lin, Zhongwei Shen

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

34 Scopus citations

Abstract

For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an O(ε) estimate in H¹ for solutions with Dirichlet condition.

Original language	English
Pages (from-to)	1901-1925
Number of pages	25
Journal	Journal of the European Mathematical Society
Volume	15
Issue number	5
DOIs	https://doi.org/10.4171/JEMS/408
State	Published - 2013

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4171/JEMS/408

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title = "Estimates of eigenvalues and eigenfunctions in periodic homogenization",

abstract = "For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an O(ε) estimate in H1 for solutions with Dirichlet condition.",

author = "Kenig, {Carlos E.} and Fanghua Lin and Zhongwei Shen",

year = "2013",

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language = "English",

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T1 - Estimates of eigenvalues and eigenfunctions in periodic homogenization

AU - Kenig, Carlos E.

AU - Lin, Fanghua

AU - Shen, Zhongwei

PY - 2013

Y1 - 2013

N2 - For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an O(ε) estimate in H1 for solutions with Dirichlet condition.

AB - For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an O(ε) estimate in H1 for solutions with Dirichlet condition.

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DO - 10.4171/JEMS/408

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EP - 1925

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 5

ER -

Estimates of eigenvalues and eigenfunctions in periodic homogenization

Abstract

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