Sentinel method and distributed systems with missing data

Rezzoug Imad; Merabti Nesrine  Lamya

doi:10.55059/ijm.2022.1.2/26

Authors

Rezzoug Imad Oum El Bouaghi University https://orcid.org/0000-0002-7054-9934
Merabti Nesrine Lamya

DOI:

https://doi.org/10.55059/ijm.2022.1.2/26

Keywords:

Parabolic equation, Approximate controllability, Pointwise and Weak sentinel, Pollution term

Abstract

In this work, we study an approximate controllability problem with constraint on the control. This problem appears naturally of weak and pointwise sentinel with a small or singleton region observation. The main tool is a theorem of uniqueness of the solution of ill-posed Cauchy problem for the parabolic equation.

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