Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 3–14 (Mi vmumm173)  
Mathematics

Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control

A. V. Gorshkov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The problem of boundary control stabilization of the solution to the heat equation defined in the exterior of a sphere is studied in the paper. The boundary control function stabilizing the solution to zero with the rate $ 1/{t^k}$ is constructed for any $k>0$.
Key words: heat equation, exterior Dirichlet problem, stabilizability, Bessel functions, Bessel–Fourier integral, spherical functions.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03576
Received: 23.12.2013
Revised: 23.08.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 173–184
DOI: https://doi.org/10.3103/S0027132216050016
Bibliographic databases:
Document Type: Article
UDC: 517.956.45
Language: Russian
Citation: A. V. Gorshkov, “Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 3–14; Moscow University Mathematics Bulletin, 71:5 (2016), 173–184
Citation in format AMSBIB
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