Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case |
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Authors: | Tarik Ali Ziane Ouahiba Zair |
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Affiliation: | Faculty of Mathematics, Laboratory AMNEDP, USTHB, Algiers, Algeria. |
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Abstract: | In this paper, we prove controllability results for a two-dimensional semilinear heat equation with mixed boundary conditions. It is well-known that mixed boundary conditions can present a singular behaviour of the solution. First, we will prove global Carleman estimates then we will use these inequalities to obtain controllability results. |
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Keywords: | Mixed boundary conditions controllability singularities Carleman inequalities semilinear parabolic equations |
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