Asymptotics for the solutions of elliptic systems with fast oscillating coefficients

Details Asymptotics for the solutions of elliptic systems with fast oscillating coefficients Asymptotics for the solutions of elliptic systems with fast oscillating coefficients

2006-12-04

arxiv.org/abs/math-ph/0612013v4

Physics

Mathematical Physics

I have excluded the results on the eigenvalues asymptotitcs from the article. The reason is that I've obtained the referee rep

Scientific paper

We consider a singularly perturbed second order elliptic system in the whole space. The coefficients of the systems fast oscillate and depend both of slow and fast variables. We obtain the homogenized operator and in the uniform norm sense we construct the leading terms of the asymptotics expansion for the resolvent of the operator described by the system. The convergence of the spectrum is established. The convergence of the spectrum is established. The examples are given.

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