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- W4362598033 abstract "We prove the null controllability of a one-dimensional degenerate parabolic equation with drift and a singular potential. Here, we consider a weighted Neumann boundary control at the left endpoint, where the potential arises. We use a spectral decomposition of a suitable operator, defined in a weighted Sobolev space, and the moment method by Fattorini and Russell to obtain an upper estimate of the cost of controllability. We also obtain a lower estimate of the cost of controllability by using a representation theorem for analytic functions of exponential type." @default.
- W4362598033 created "2023-04-06" @default.
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- W4362598033 date "2023-03-31" @default.
- W4362598033 modified "2023-10-16" @default.
- W4362598033 title "Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential and a Neumann boundary condition" @default.
- W4362598033 doi "https://doi.org/10.48550/arxiv.2304.00178" @default.
- W4362598033 hasPublicationYear "2023" @default.
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