Asymptotic behavior of the spectrum of an elliptic problem in a domain with aperiodically distributed concentrated masses

Gregory Aleksandrovich Chechkin, Tatiana P. Chechkina · Comptes Rendus Mécanique · 2017

In this paper, we consider a spectral problem with singular perturbation of density located near the boundary of the domain, depending on a small parameter. We prove the compactness theorem and study the behavior of eigenelements to the given problem, as the small parameter tends to zero.

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