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Matematicheskie Zametki, 2021, Volume 110, Issue 4, paper published in the English version journal
(Mi mzm12767)
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Papers published in the English version of the journal
Approximate Controllability from the Exterior
for a Nonlocal Sobolev–Galpern Type Equation
S. Zamorano Mathematics and Computer Science Department, University of Santiago of Chile (USACH), Santiago, 9170020 Chile
Abstract:
In this paper, we study the approximate control problem from the exterior of a nonlocal equation of Sobolev–Galpern type, specifically the Barenblatt–Zheltov–Kochina equation, involving the fractional Laplace operator of order
$s\in(0,1)$.
We prove that the system under consideration is approximate controllable at any time
$T>0$.
Keywords:
fractional Laplace operator, Sobolev–Galpern type equation, exterior control problem, Barenblatt–Zheltov–Kochina equation, unique continuation property, approximate controllability.
Received: 24.04.2020 Revised: 19.03.2021
Citation:
S. Zamorano, “Approximate Controllability from the Exterior
for a Nonlocal Sobolev–Galpern Type Equation”, Math. Notes, 110:4 (2021), 609–622
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https://www.mathnet.ru/eng/mzm12767
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Abstract page: | 124 |
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