Global Approximately Controllability and Finite Dimensional Exact Controllability of Semilinear Heat Equation in R~N     semilinear heat equation  controllability         font style='font-size:12px;'> 2007/12/10

We prove the approxomate controllability and finite dimensional exact controllability of semilinear heat equation in R~N with the same control by introducing the weighted Soblev spaces.

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