Refaad for Studies, Research and Developement
New modiﬁcation Sentinel for Linear Parabolic Equation
25199269 (Print)
25199277 (Online)
Volume 4
Issue 3
2018

0
New modiﬁcation Sentinel for Linear Parabolic Equation
96
101
English
LAIB TeldjaDepartment of Mathematics, Laboratory of the dynamic systems and control University Larbi Ben M’Hidi, Oum ElBouaghiAlgeria
Ayadi abdelhamid Department of Mathematics, Laboratory of the dynamic systems and control University Larbi Ben M’Hidi, Oum ElBouaghiAlgeriafacmaths@yahoo.fr
https://doi.org/10.31559/glm2018.4.3.1
The purpose of this article is, ﬁrstly, to modify the old deﬁnition of the sentinel, introduced by J.L. Lions, so that we can separate the control support to the observation support and, secondly, to identify the pollution terms which arise in regular problems which are modeled by a linear parabolic equation. A new modiﬁcation of the sentinel is used to identify pollution terms in the general case where the observation and the control supports are disjoint. The problem of ﬁnding a new modiﬁcation sentinel is equivalent to ﬁnding the unique control of regular adjoint system of the parabolic equation that we solve.
Regular Heat Equation; Controllability; Control optimal; Sentinel
http://www.refaad.com/views/GLM/431.html
http://www.refaad.com/Files/GLM/GLM431.pdf