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

On the exact boundary control for the linear Klein-Gordon equation in non-cylindrical domains
descriptionPublicationkeyboard_double_arrow_right Article 22 Jul 2020Publisher:Brazilian Society for Computational and Applied Mathematics (SBMAC)Journal:TEMA (São Carlos), volume 21, page 371 (issn: 1677-1966, eissn: 2179-8451, Copyright policy )
Authors: R. S. O. Nunes;

doi: 10.5540/tema.2020.021.02.371

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

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.

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Keywords

Controllability, Control/observation systems governed by partial differential equations, dominios não-cilindricos, exact boundary controllability, equação linear Klein-Gordon, controle exato na fronteira, non-cylindrical domains, linear Klein-Gordon equation, Linear Klein-Gordon Equation., QA1-939, Exact Boundary Controllability, Initial-boundary value problems for second-order hyperbolic equations, Non-cylindrical Domains, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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