K. Khalina

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20182025

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math.OC2025

Approximate Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Dirichlet Boundary Condition with a Bounded Control

Larissa Fardigola, Kateryna Khalina

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

math.OC2022

Controllability Problems for the Heat Equation with Variable Coefficients on a Half-Axis Controlled by the Neumann Boundary Condition

Larissa Fardigola, Kateryna Khalina

In the paper, the problems of controllability and approximate controllability are studied for the control system $w_{t} = \frac{1}{ρ} (k w_{x})_{x} + γ w$ , $\left.\left(\sqrt{\frac{k}ρ…