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.identifier.citation | Louis-Rose, C. (2020). Null controllability from the exterior of fractional parabolic-elliptic coupled systems. Electronic Journal of Differential Equations, 2020(26), pp. 1-18. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/14530 | |
| 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.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Controllability | en_US |
| dc.subject | Fractional partial differential equation | en_US |
| dc.subject | Linear system | en_US |
| dc.subject | Series solution | en_US |
| dc.subject | Eigenvalue problem | en_US |
| dc.title | Null controllability from the exterior of fractional parabolic-elliptic coupled systems | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
