Controllability of a one-dimensional fractional heat equation: Theoretical and numerical aspects

We analyse the controllability problem for a one-dimensional heat equation involving the fractional Laplacian (-d 2x )s on the interval (-1, 1). Using classical results and techniques, we show that, acting from an open subset ω ⊂ (-1, 1), the problem is null-controllable for s > 1/2 and that for...

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Bibliographic Details
Main Authors: Biccari, U. (Author), Hernández-Santamaría, V. (Author)
Format: Article
Language:English
Published: Oxford University Press 2019
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Online Access:View Fulltext in Publisher

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