Geodesic
Estimates of eigenvalues and eigenfunctions in periodic homogenization
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1901-1925.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/408
Classification : 35-XX, 34-XX, 00-XX
Keywords: Homogenization, eigenvalue, eigenfunction 
@article{JEMS_2013_15_5_a10,
     author = {Carlos E. Kenig and Fanghua Lin and Zhongwei Shen},
     title = {Estimates of eigenvalues and eigenfunctions in periodic homogenization},
     journal = {Journal of the European Mathematical Society},
     pages = {1901--1925},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {2013},
     doi = {10.4171/jems/408},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/408/}
}
TY  - JOUR
AU  - Carlos E. Kenig
AU  - Fanghua Lin
AU  - Zhongwei Shen
TI  - Estimates of eigenvalues and eigenfunctions in periodic homogenization
JO  - Journal of the European Mathematical Society
PY  - 2013
SP  - 1901
EP  - 1925
VL  - 15
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/408/
DO  - 10.4171/jems/408
ID  - JEMS_2013_15_5_a10
ER  - 
%0 Journal Article
%A Carlos E. Kenig
%A Fanghua Lin
%A Zhongwei Shen
%T Estimates of eigenvalues and eigenfunctions in periodic homogenization
%J Journal of the European Mathematical Society
%D 2013
%P 1901-1925
%V 15
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/408/
%R 10.4171/jems/408
%F JEMS_2013_15_5_a10
Carlos E. Kenig; Fanghua Lin; Zhongwei Shen. Estimates of eigenvalues and eigenfunctions in periodic homogenization. Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1901-1925. doi : 10.4171/jems/408. http://geodesic.mathdoc.fr/articles/10.4171/jems/408/

Cité par Sources :