Louis-Rose, Carole2021-09-222021-09-222020-03-27Louis-Rose, C. (2020). Null controllability from the exterior of fractional parabolic-elliptic coupled systems. <i>Electronic Journal of Differential Equations, 2020</i>(26), pp. 1-18.1072-6691https://hdl.handle.net/10877/14530We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian (-d2x)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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalControllabilityFractional partial differential equationLinear systemSeries solutionEigenvalue problemArticle