Null controllability from the exterior of fractional parabolic-elliptic coupled systems
| dc.contributor.author | Louis-Rose, Carole | |
| dc.date.accessioned | 2021-09-22T14:10:17Z | |
| dc.date.available | 2021-09-22T14:10:17Z | |
| dc.date.issued | 2020-03-27 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14530 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Controllability | |
| dc.subject | Fractional partial differential equation | |
| dc.subject | Linear system | |
| dc.subject | Series solution | |
| dc.subject | Eigenvalue problem | |
| dc.title | Null controllability from the exterior of fractional parabolic-elliptic coupled systems | |
| dc.type | Article |