Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

D. Borisov

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arXiv · 0705.4181

Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

D. Borisov

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Abstract

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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BibTeX RIS

D. Borisov. 2007-05-29. Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients. https://arxiv.org/abs/0705.4181

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