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Matematicheskie Zametki, 2021, Volume 110, Issue 4, paper published in the English version journal (Mi mzm12767)  
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.
Funding agency Grant number
ANID PAI Convocatoria Nacional Subvención a la Instalación en la Academia Convocatoria PAI 77190106
This work was partially supported by ANID PAI Convocatoria Nacional Subvención a la Instalación en la Academia Convocatoria 2019 under grant PAI 77190106.
Received: 24.04.2020
Revised: 19.03.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 4, Pages 609–622
DOI: https://doi.org/10.1134/S0001434621090315
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. Zamorano, “Approximate Controllability from the Exterior for a Nonlocal Sobolev–Galpern Type Equation”, Math. Notes, 110:4 (2021), 609–622
Citation in format AMSBIB
\Bibitem{Zam21}
\by S.~Zamorano
\paper Approximate Controllability from the Exterior
for a Nonlocal Sobolev--Galpern Type Equation
\jour Math. Notes
\yr 2021
\vol 110
\issue 4
\pages 609--622
\mathnet{http://mi.mathnet.ru/mzm12767}
\crossref{https://doi.org/10.1134/S0001434621090315}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000711049900031}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118227433}
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