Asymptotic expansions of the largest eigenvalues

2016/12/01 by M. Gozzi, Gozzi, M., A. Khelifi +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1612.00415

15 pages

arxiv created 2016/12/01 · arxiv updated 2016/12/02

Abstract

In this paper, we provide a rigorous derivation of asymptotic formula for the largest eigenvalues using the convergence estimation of the eigenvalues of a sequence of self-adjoint compact operators of perturbations resulting from the presence of small inhomogeneities.

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