Estimates of eigenvalues and eigenfunctions in periodic homogenization

Kenig, Carlos E., Lin, Fanghua, and Shen, Zhongwei. "Estimates of eigenvalues and eigenfunctions in periodic homogenization." Journal of the European Mathematical Society 015.5 (2013): 1901-1925. <http://eudml.org/doc/277193>.

@article{Kenig2013,
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 $O(\epsilon )$ estimate in $H^1$ for solutions with Dirichlet condition.},
author = {Kenig, Carlos E., Lin, Fanghua, Shen, Zhongwei},
journal = {Journal of the European Mathematical Society},
keywords = {homogenization; eigenvalue; eigenfunction; Dirichlet eigenvalues; Dirichlet eigenfunctions; elliptic operators; periodic homogenization; Dirichlet eigenvalues; Dirichlet eigenfunctions; elliptic operators; periodic homogenization},
language = {eng},
number = {5},
pages = {1901-1925},
publisher = {European Mathematical Society Publishing House},
title = {Estimates of eigenvalues and eigenfunctions in periodic homogenization},
url = {http://eudml.org/doc/277193},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Kenig, Carlos E.
AU - Lin, Fanghua
AU - Shen, Zhongwei
TI - Estimates of eigenvalues and eigenfunctions in periodic homogenization
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 5
SP - 1901
EP - 1925
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 $O(\epsilon )$ estimate in $H^1$ for solutions with Dirichlet condition.
LA - eng
KW - homogenization; eigenvalue; eigenfunction; Dirichlet eigenvalues; Dirichlet eigenfunctions; elliptic operators; periodic homogenization; Dirichlet eigenvalues; Dirichlet eigenfunctions; elliptic operators; periodic homogenization
UR - http://eudml.org/doc/277193
ER -