On the Exact Boundary Control for the Linear Klein-Gordon Equation in Non-cylindrical Domains

R. S. O. Nunes

Abstract


The purpose of this paper is to study an exact boundary controllability problem in noncylindrical domains for the linear Klein-Gordon equation. Here, we work near of the extension techniques presented By J. Lagnese in [12] which is based in the Russell’s controllability method. The control time is obtained in any time greater then the value of the diameter of the domain on which the initial data are supported. The control is square integrable and acts on whole boundary and it is given by conormal derivative associated with the above-referenced wave operator.


Keywords


Exact Boundary Controllability; Non-cylindrical Domains; Linear Klein-Gordon Equation.

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References


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DOI: https://doi.org/10.5540/tema.2020.021.02.371

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TEMA - Trends in Applied and Computational Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
ISSN: 1677-1966  (print version),  2179-8451  (online version)

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