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 $w_t=\Delta w$, $w_{x_1}(0,x_2,t)=u(t)\delta (x_2)$, $x_1>0$, $x_2\in \mathbb{R}$…