Email this article Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk
- Authors: Kostin A.B.1, Sherstyukov V.B.1
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Affiliations:
- National Nuclear Research University MEPhI
- Issue: Vol 55, No 10 (2019)
- Pages: 1349-1361
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155175
- DOI: https://doi.org/10.1134/S0012266119100100
- ID: 155175
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Abstract
We study the spectral oblique derivative problem for the Laplace operator in a disk D. The asymptotic properties of the eigenvalues are established, and the basis property with parentheses in the space L2(D) is proved for the system of root functions of the above problem.
About the authors
A. B. Kostin
National Nuclear Research University MEPhI
Author for correspondence.
Email: abkostin@yandex.ru
Russian Federation, Moscow, 115409
V. B. Sherstyukov
National Nuclear Research University MEPhI
Author for correspondence.
Email: shervb73@gmail.com
Russian Federation, Moscow, 115409
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