| Issue |
ESAIM: COCV
Volume 28, 2022
|
|
|---|---|---|
| Article Number | 41 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/cocv/2022041 | |
| Published online | 29 June 2022 | |
Controllability problems for the heat equation with variable coefficients on a half-axis
1
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: fardigola@ukr.net
Received:
21
February
2021
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
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