Controllability properties for some semilinear parabolic PDE with a quadratic gradient term

Details Controllability properties for some semilinear parabolic PDE with a quadratic gradient term Controllability properties for some semilinear parabolic PDE with a quadratic gradient term

2012-02-03

arxiv.org/abs/1202.0785v1

Mathematics

Optimization and Control

Scientific paper

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.

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