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Differential Equations

, Volume 55, Issue 10, pp 1349–1361 | Cite as

Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk

  • A. B. KostinEmail author
  • V. B. SherstyukovEmail author
Partial Differential Equations
  • 7 Downloads

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.

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Notes

Funding

This work was supported in part by the Competitiveness Enhancement Program of National Nuclear Research University MEPhI, project no. 02.a03.21.0005. The research by V.B. Sherstyukov was supported by the Russian Foundation for Basic Research, project no. 18-01-00236.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.National Nuclear Research University MEPhIMoscowRussia

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