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math.AP2020★ 23 cited
The cost of approximate controllability of heat equation with dynamical boundary conditions
I. Boutaayamou, S. E. Chorfi, L. Maniar +1
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…
math.AP2020★ 28 cited
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
E. M. Ait Ben Hassi, S. E. Chorfi, L. Maniar +1
In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stab…