In the paper, the problems of controllability and approximate controllability are studied for the heat equation w$$ = 1/ρ (kw$$)$$ + 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.
Keywords: Heat equation, controllability, approximate controllability
@article{COCV_2022__28_1_A41_0,
author = {Fardigola, Larissa and Khalina, Kateryna},
title = {Controllability problems for the heat equation with variable coefficients on a half-axis},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2022},
publisher = {EDP-Sciences},
volume = {28},
doi = {10.1051/cocv/2022041},
mrnumber = {4445583},
zbl = {1503.93012},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2022041/}
}
TY - JOUR AU - Fardigola, Larissa AU - Khalina, Kateryna TI - Controllability problems for the heat equation with variable coefficients on a half-axis JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2022 VL - 28 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2022041/ DO - 10.1051/cocv/2022041 LA - en ID - COCV_2022__28_1_A41_0 ER -
%0 Journal Article %A Fardigola, Larissa %A Khalina, Kateryna %T Controllability problems for the heat equation with variable coefficients on a half-axis %J ESAIM: Control, Optimisation and Calculus of Variations %D 2022 %V 28 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2022041/ %R 10.1051/cocv/2022041 %G en %F COCV_2022__28_1_A41_0
Fardigola, Larissa; Khalina, Kateryna. Controllability problems for the heat equation with variable coefficients on a half-axis. ESAIM: Control, Optimisation and Calculus of Variations, Tome 28 (2022), article no. 41. doi: 10.1051/cocv/2022041
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