Research Communication | Open Access
Volume 2019 | Communication ID 86
Volume 2019 | Communication ID 86
| Enlarged observability of semilinear parabolic systems via Lagrangian approach |
Hayat Zouiten
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we investigate the regional enlarged observability of distributed parameter systems governed by semilinear parabolic ones. The Lagrangian multiplier approach is used to reconstruct the initial state between two prescribed functions in an internal subregion of the whole domain , without the knowledge of the state. This approach leads to an algorithm which is successfully implemented numerically and illustrated by an example that confirm the theoretical results which provided further information about the location of the sensor.