We consider a control problem for one-dimensional heat equation with quadratic cost functional. We prove the existence and uniqueness of a control function from a prescribed set, and study the structure of the set of accessible temperature functions. We also prove the dense controllability of the problem for some set of control functions.
@article{517,
title = {On the dense controllability for the parabolic problem with time-distributed functional},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
language = {EN},
url = {http://dml.mathdoc.fr/item/517}
}
Astashova, I.V.; Filinovskiy, A. V. On the dense controllability for the parabolic problem with time-distributed functional. Tatra Mountains Mathematical Publications, Tome 72 (2019) . http://gdmltest.u-ga.fr/item/517/