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: email@example.com
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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