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Short communications

On spectral stability problem for a pair of self-adjoint elliptic differential operators on bounded open sets

V. I. Burenkov^ab, B. Th. Tuyen<sup>a

a</sup> S.M. Nikol'skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russia
^b V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 42 Vavilov St, 117966 Moscow, Russia

Abstract: We prove estimates for the variation of the eigenvalues for a pair of self-adjoint elliptic differential operators in the case of diffeomorphic open sets.

Keywords and phrases: spectral stability, self-adjoint elliptic differential operators.

MSC: 35P15, 35J40, 47A75, 47B25

Received: 01.02.2019

Language: English

DOI: 10.32523/2077-9879-2019-10-3-84-88

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