Abstract
In this paper, we consider a fourth order parabolic equation in a bounded smooth domain Ω with homogeneous Dirichlet boundary conditions on the solution and the laplacian of the solution. The main result we establish is a Carleman inequality with observation in an arbitrarily small open set ω included in Ω, which leads to a null controllability result at any time T>0 for the associated control system with a control function acting through ω.
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