scholarly journals Exact boundary controllability for the Boussinesq equation with variable coefficients

2018 ◽  
Vol 7 (3) ◽  
pp. 403-415
Author(s):  
Jamel Ben Amara ◽  
◽  
Hedi Bouzidi
Keyword(s):  
Boussinesq Equation ◽  
Variable Coefficients ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary

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

2020 ◽  
Vol 21 (2) ◽  
pp. 371
Author(s):  
R. S. O. Nunes
Keyword(s):  
Initial Data ◽  
Wave Operator ◽  
Gordon Equation ◽  
Controllability Problem ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary ◽  
Cylindrical Domains ◽  
Klein Gordon ◽  
Klein Gordon Equation

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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