Asymptotics of Eigenvalues and Eigenfunctions in Periodic Homogenization

Fanghua Lin, NYU
Fine Hall 314

Understanding asymptotics of eigenvalues and eigenfunctions in homogenization is an important problem and it has attracted a great deal of attentions. One of the practical reasons is that it may be applied in the studies of some inverse problems and problems of uniform boundary controllability. In this talk, I shall describe a recent joint work with C.Kenig and Zhongwei Shen on the Uniform (and optimal) estimates for eigenvalues and eigenfunctions in elliptic periodic homogenization.