Carleman inequalities for the heat equation in singular domains |
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| Authors: | Abdelhakim Belghazi Ferroudja Smadhi Nawel Zaidi Ouahiba Zair |
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| Institution: | Faculté de mathématiques, laboratoire AMNEDP, U.S.T.H.B., B.P. 32, El-Alia, 16111 Alger, Algeria |
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| Abstract: | We consider the Cauchy problem associated to the heat equation firstly in a plane domain with a reentrant corner, then in a cracked domain. By constructing a weight function, we show a result of null controllability using Carleman estimates. |
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