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Start Over Author "Idriss Boutaayamou" Publisher european mathematical society - ems - publishing house gmbh
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1. The cost of approximate controllability of heat equation with general dynamical boundary conditions

Author

S. E. Chorfi, Idriss Boutaayamou, Lahcen Maniar, and Omar Oukdach

Subjects
Controllability, Mathematics - Analysis of PDEs, General Mathematics, Mathematical analysis, FOS: Mathematics, Heat equation, Boundary value problem, Analysis of PDEs (math.AP), Mathematics
Abstract

We consider the heat equation with dynamic bounary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.

Published
2021
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