Regional gradient exact enlarge controllability of the semilinear heat equation

الملخص EN

The aim of this paper is to study the enlarge gradient-controllability problem of the heat equation.

The purpose is to compute the control u which steers the state gradient of the system between two prescribed levels l1 and l2, only on a subregion ! of the system evolution domain .

The obtained results have been proved via two approaches, the sub-di erential and Lagrangian multiplier approach.