On the Exact Controllability of a Nonlinear Stochastic Heat Equation
نویسنده
چکیده
The bounded open subsetG of Rn is assumed to have a smooth boundary and g is continuous from L2(0,T ;L2(G)) into L2(0,T ;L2(G)). The existence of a solution of the linear version of (1.1) is established in Section 3 of the paper. The nonlinear case is considered in Section 4. The main assumptions of the paper and some preliminary results are given in Section 2. Exact controllability of the wave equation has been the subject of extensive investigations using the HUM method of J. L. Lions and the nonlinear case has been studied by Zuazua [6] and recently by the author in [1].
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تاریخ انتشار 2006