Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

Details Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

2007-05-29

arxiv.org/abs/0705.4181v1

Mathematics

Spectral Theory

Scientific paper

We consider singularly perturbed second order elliptic system in the whole
space with fast oscillating coefficients. We construct the complete asymptotic
expansions for the eigenvalues converging to the isolated ones of the
homogenized system, as well as the complete asymptotic expansions for the
associated eigenfunctions.

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