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- W2979601345 abstract "We use some results from the theory of Reproducing Kernel Hilbert Spaces to show that the reachable space of the heat equation for a finite rod with either one or two Dirichlet boundary controls is a RKHS of analytic functions on a square, and we compute its reproducing kernel. We also show that the null reachable space of the heat equation for the half line with Dirichlet boundary data is a RKHS of analytic functions on a sector, whose reproducing kernel is (essentially) the sum of pullbacks of the Bergman and Hardy kernels on the half plane $mathbb{C}^+$. We also consider the case with Neumann boundary data." @default.
- W2979601345 created "2019-10-18" @default.
- W2979601345 creator A5027543702 @default.
- W2979601345 date "2019-10-09" @default.
- W2979601345 modified "2023-10-01" @default.
- W2979601345 title "The reachable space of the heat equation for a finite rod as a Reproducing Kernel Hilbert Space" @default.
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