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Hierarchic control of a linear heat equation with missing data
  • Romario Gildas Foko Tiomela,
  • Gisèle Mophou,
  • Gaston NGuerekata
Romario Gildas Foko Tiomela
Morgan State University
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Gisèle Mophou
Université des Antilles
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Gaston NGuerekata
Morgan State University
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The paper is devoted to the Stackelberg control of a linear parabolic equation with missing initial conditions. The strategy involves two controls called follower and leader. The objective of the follower is to bring the state to a desired state while the leader has to bring the system to rest at the final time. The results are obtained by means of Fenchel-Legendre transform and appropriate Carleman inequalities.

Peer review status:ACCEPTED

27 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
01 Feb 2020Submission Checks Completed
01 Feb 2020Assigned to Editor
06 Feb 2020Reviewer(s) Assigned
20 Feb 2020Review(s) Completed, Editorial Evaluation Pending
06 Mar 2020Editorial Decision: Revise Minor
09 Mar 20201st Revision Received
14 Mar 2020Submission Checks Completed
14 Mar 2020Assigned to Editor
14 Mar 2020Editorial Decision: Accept