The Basis Property of the System of Root Functions of the Oblique Derivative Problem


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Abstract

The oblique-derivative spectral problem for the Laplacian in a disk D is studied. The asymptotic properties of its eigenvalues are established, and the system of root functions of this problem is proved to be a basis with brackets in L2 (D).

About the authors

A. B. Kostin

National Research Nuclear University “MEPhI,”

Author for correspondence.
Email: abkostin@yandex.ru
Russian Federation, Moscow, 115409

V. B. Sherstyukov

National Research Nuclear University “MEPhI,”

Email: abkostin@yandex.ru
Russian Federation, Moscow, 115409

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