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Null controllability from the exterior of fractional parabolic-elliptic coupled systems

Abstract : We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian (−d2 x)s, s ∈ (0,1), in one space dimension. In each system, the control is located on a non-empty open set of R\(0,1). Using the spectral theory of the fractional Laplacian and a unique continuation principle for the dual equation, we show that the problem is null controllable if and only if 1/2 < s < 1. .
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https://hal.archives-ouvertes.fr/hal-02522012
Contributor : Carole Louis-Rose <>
Submitted on : Friday, March 27, 2020 - 5:33:59 PM
Last modification on : Saturday, March 28, 2020 - 1:28:17 AM

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  • HAL Id : hal-02522012, version 1

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Carole Louis-Rose. Null controllability from the exterior of fractional parabolic-elliptic coupled systems. Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2020, pp.1-18. ⟨hal-02522012⟩

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