Version 1
: Received: 1 December 2018 / Approved: 4 December 2018 / Online: 4 December 2018 (03:29:41 CET)
How to cite:
Zouiten, H.; Boutoulout, A.; El Alaoui, F. Regional Observability with Constraints on the State of Semilinear Parabolic Systems. Preprints2018, 2018120044. https://doi.org/10.20944/preprints201812.0044.v1
Zouiten, H.; Boutoulout, A.; El Alaoui, F. Regional Observability with Constraints on the State of Semilinear Parabolic Systems. Preprints 2018, 2018120044. https://doi.org/10.20944/preprints201812.0044.v1
Zouiten, H.; Boutoulout, A.; El Alaoui, F. Regional Observability with Constraints on the State of Semilinear Parabolic Systems. Preprints2018, 2018120044. https://doi.org/10.20944/preprints201812.0044.v1
APA Style
Zouiten, H., Boutoulout, A., & El Alaoui, F. (2018). <sub></sub>Regional Observability with Constraints on the State of Semilinear Parabolic Systems. Preprints. https://doi.org/10.20944/preprints201812.0044.v1
Chicago/Turabian Style
Zouiten, H., Ali Boutoulout and Fatima-Zahrae El Alaoui. 2018 "<sub></sub>Regional Observability with Constraints on the State of Semilinear Parabolic Systems" Preprints. https://doi.org/10.20944/preprints201812.0044.v1
Abstract
The paper is devoted to the investigation of regional observability with constraints on the state of semilinear parabolic systems. The purpose is to reconstruct the initial state between two prescribed functions only on an internal subregion $\omega$ of the system evolution domain $\Omega$. The proofs use two approaches, the subdifferential and HUM approach. Finally, a numerical example is provided to verify the effectiveness of our theory results.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
