Geodesic
Estimates of eigenvalues and eigenfunctions in periodic homogenization
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1901-1925 Cet article a éte moissonné depuis la source EMS Press

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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},
     year = {2013},
     volume = {15},
     number = {5},
     doi = {10.4171/jems/408},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/408/}
}
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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

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