Null controllability of a parabolic coupled system with control under constraints

• Published in: Applied Sciences (Bucuresti) Vol. 21
• Main Author: Louis-Rose, Carole
• Format: Journal Article
• Language: English
• Published: Balcan Society of Geometers 2019
• Subjects: Analysis of PDEs; Mathematics; Carleman inequality; Non-linear system; Parabolic system; Null controllability

We prove the null controllability of a parabolic system. Thesingle control is common to both PDEs, distributed and subject to constraints.The studied model can be applied in dynamics of biologicalsystems or in physics. First we study the problem associated to a similarlinearized system. Then appropr...