K. Khalina

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20182025

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math.AP2024

Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Neumann Boundary Condition with a Point-Wise Control

Larissa Fardigola, Kateryna Khalina

In the paper, the problems of controllability and approximate controllability are studied for the control system $w_{t} = Δ w$ , $w_{x_{1}} (0, x_{2}, t) = u (t) δ (x_{2})$ , $x_{1} > 0$ , $x_{2} \in R$ …

math.AP2018

Reachability and Controllability Problems for the Heat Equation on a Half-Axis

Larissa Fardigola, Kateryna Khalina

In the paper, problems of controllability, approximate controllability, reachability and approximate reachability are studied for the control system $w_{t} = w_{xx}$ , $w (0, \cdot) = u$ , $…