Carleman estimates for parabolic equations Applications to controllability problems
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Date
2023-06-04
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Université Echahid Chikh Larbi Tébessi -Tébessa
Abstract
The main goal of thismemoryis to show someCarlmanestimates of parabolicPDEs and its application to controllabilityproblems. Weshallpresenttwokinds: the first is for a heatequation and the second is the general
case of PDEs as well as some applications to solveproblems of controllability of parabolicequations. Actually, theseinequalities are lead to the existence of
solutions for controllabilityproblems. Carlemanestimates are weightedine qualities constructed via a verytech nicalmethod.
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Keywords
Carlemanine qualities, parabolice quations, observability inequality, nullcontroll ability, weight function