| Abstract: |
| The goal of this talk is to present some recent results on control issues for the 1-dimensional heat equation. In particular, we shall present a new proof of the controllability of the heat equation in 1-d yielding new results on the cost of controllability of the heat equation in 1d. Our strategy is based on a Carleman type estimate inspired by the Gaussian kernel and arguments from holomorphic function theory, namely the Phragmen Lindelof principle. |
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