Basis Property of the Eigenfunction System of the Gellerstedt Problem in the Elliptic Part of the Domain


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The Gellerstedt eigenvalue problem with homogeneous boundary conditions on interior characteristics is studied. We prove that the eigenfunction system of this problem is a Riesz basis in the L2 space in the elliptic domain.

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E. Moiseev

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of Russian Academy of Sciences

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Email: cmc@cs.msu.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119333

T. Moiseev

Lomonosov Moscow State University

Email: cmc@cs.msu.ru
俄罗斯联邦, Moscow, 119991

A. Kholomeeva

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of Russian Academy of Sciences

Email: cmc@cs.msu.ru
俄罗斯联邦, Moscow, 119991; Moscow, 119333

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