Exact Controllability for a Semilinear Wave Equation with Both Interior and Boundary Controls
نویسنده
چکیده
The purpose of this paper is to prove the existence of the exact controllability of a semilinear wave equation with both interior and boundary controls. Let Ω be a bounded open subset of Rn with a smooth boundary, let f (y) be an accretive mapping of L2(0,T ;H−1(Ω)) into L2(0,T ;H 0 (Ω)) with respect to a duality mapping J ,D( f ) = L2(0,T ;L2(Ω)) and having at most a linear growth in y. Consider the initial boundary value problem
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تاریخ انتشار 2002