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Regional Gradient Exact Enlarge Controllability of the Semilinear Heat Equation

Volume 2, Issue 2, Article 7 - 2017

Authors: Touria Karite;Ali Boutoulout;Fatima Zahrae EL Alaoui

Copyright © 2017 . 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.

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Abstract

The aim of this paper is to study the enlarge gradient-controllability problem of the heat equation. The purpose is to compute the control u which steers the state gradient of the system between two prescribed levels l1 and l2, only on a subregion ω of the system evolution domain Ω. The obtained results have been proved via two approaches, the sub-differential and Lagrangian multiplier approach.

How To Cite This Article

@article{Karite_2017, doi = {10.31559/glm2016.2.2.7}, url = {https://doi.org/10.31559%2Fglm2016.2.2.7}, year = 2017, month = {apr}, publisher = {Refaad for Studies and Research}, volume = {2}, number = {2}, author = {Touria Karite and Ali Boutoulout and Fatima Zahrae EL Alaoui}, title = {Regional Gradient Exact Enlarge Controllability of the Semilinear Heat Equation}, journal = {General Letters in Mathematics} }
Karite, T., Boutoulout, A., & EL Alaoui, F. Z. (2017). Regional Gradient Exact Enlarge Controllability of the Semilinear Heat Equation. General Letters in Mathematics, 2(2). doi:10.31559/glm2016.2.2.7
[1]T. Karite, A. Boutoulout, and F. Z. EL Alaoui, “Regional Gradient Exact Enlarge Controllability of the Semilinear Heat Equation,” General Letters in Mathematics, vol. 2, no. 2, Apr. 2017.
Karite, Touria, Ali Boutoulout, and Fatima Zahrae EL Alaoui. “Regional Gradient Exact Enlarge Controllability of the Semilinear Heat Equation.” General Letters in Mathematics 2, no. 2 (April 1, 2017). doi:10.31559/glm2016.2.2.7.