Null controllability from the exterior of fractional parabolic-elliptic coupled systems
Date
2020-03-27
Authors
Louis-Rose, Carole
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Controllability, Fractional partial differential equation, Linear system, Series solution, Eigenvalue problem
Citation
Louis-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.