Estimates of eigenvalues and eigenfunctions in periodic homogenization
Carlos E. KenigUniversity of Chicago, USA
Fanghua LinNew York University, United States
Zhongwei ShenUniversity of Kentucky, Lexington, USA
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 estimate in for solutions with Dirichlet condition.
Cite this article
Carlos E. Kenig, Fanghua Lin, Zhongwei Shen, Estimates of eigenvalues and eigenfunctions in periodic homogenization. J. Eur. Math. Soc. 15 (2013), no. 5, pp. 1901–1925DOI 10.4171/JEMS/408