Controllability properties for some semilinear parabolic PDE with a quadratic gradient term
Optimization and Control
2012-02-06 v1
Abstract
We study several controllability properties for some semilinear parabolic PDE with a quadratic gradient term. For internal distributed controls, it is shown that the system is approximately and null controllable. The proof relies on the Cole-Hopf transformation. The same approach is used to deal with initial controls.
Keywords
Cite
@article{arxiv.1202.0785,
title = {Controllability properties for some semilinear parabolic PDE with a quadratic gradient term},
author = {Luis A. Fernández},
journal= {arXiv preprint arXiv:1202.0785},
year = {2012}
}