Stabilization of a solution for two-dimensional loaded parabolic equation

Authors

  • М.Т. Jenaliyev
  • M.I. Ramazanov
  • A.Kh. Attaev
  • N.K. Gulmanov

DOI:

https://doi.org/10.31489/2020m4/55-70

Keywords:

problem of boundary stabilization, loaded heat equation, loaded Laplace operator, biorthogonal system, stabilization, algorithm

Abstract

In this paper we consider the stabilization problem of the solution of a boundary value problem for the heat equation with a loaded two-dimensional Laplace operator. The loaded terms represent the values of the required function and traces of the first-order partial derivatives of the required function at fixed points. An algorithm for constructing boundary control functions is proposed.

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Published

30.12.2020

How to Cite

Jenaliyev М.Т., Ramazanov, M.I., Attaev, A.Kh., & Gulmanov, N.K. (2020). Stabilization of a solution for two-dimensional loaded parabolic equation. Bulletin of the Karaganda University. Mathematics Series, 4(100), 55–70. https://doi.org/10.31489/2020m4/55-70

Issue

No. 4 (100)/2020

Section

MATHEMATICS