Regional Analysis of Semilinear Parabolic Systems


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Abstract


In this paper, we are concerned with regional controllability and observability problems for distributed semilinear parabolic systems. In this work, we gives definitions of this notions and we show that under some hypothesis, the regional controllability/observability of linear parabolic systems allows the regional controllability/observbility for semilinear ones. Then we develop some approaches both for regional controllability and observability which allows to reach such objective in a subregion target of the system evolution domain. The obtained results are performed through various examples and simulations.
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Keywords


Controllability; Fixed‐Point Theorems; Parabolic Systems; Regional; Observability; Semilinear Systems

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