Volume 28, 2022
|Number of page(s)||21|
|Published online||29 June 2022|
Controllability problems for the heat equation with variable coefficients on a half-axis
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
2 V.N. Karazin Kharkiv National University, 4 Svobody Sqr., Khakiv 61077, Ukraine
* Corresponding author: firstname.lastname@example.org
Accepted: 9 May 2022
In the paper, the problems of controllability and approximate controllability are studied for the heat equation wt = 1/ρ (kwx)x + γw, x > 0, t ∈ (0, T), controlled by the Dirichlet boundary condition. Control is considered in L∞(0, T). It is proved that each initial state of this system is approximately controllable to any its end state in a given time T > 0.
Mathematics Subject Classification: 93B05 / 35K05 / 35B30
Key words: Heat equation / controllability / approximate controllability
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.