On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional
and | Jan 25, 2019
About this article
Published Online: Jan 25, 2019
Page range: 9 - 25
Received: Dec 11, 2017
DOI: https://doi.org/10.2478/tmmp-2018-0002
Keywords
© 2018 Irina V. Astashova et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.