Controllability of a 2x2 parabolic system by one force with a space-dependent coupling term of order one
Analysis of PDEs
2017-01-20 v1
Abstract
This paper is devoted to the controllability of linear systems of two coupled parabolic equations when the coupling involves a space dependent first order term. This system is set on an bounded interval, and the first equation is controlled by a force supported in a subinterval of I or on the boundary. In the case where the intersection of the coupling and control domains is nonempty, we prove null controllability at any time. Otherwise, we provide a minimal time for null controllability. Finally we give a necessary and sufficient condition for the approximate controllability. The main technical tool for obtaining these results is the moment method
Keywords
Cite
@article{arxiv.1701.05315,
title = {Controllability of a 2x2 parabolic system by one force with a space-dependent coupling term of order one},
author = {Michel Duprez},
journal= {arXiv preprint arXiv:1701.05315},
year = {2017}
}
Comments
Accepted