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 $w_t=\Delta w$, $w(0,x_2,t)=u(x_2,t)$, $x_1\in {\mathbb{R}}_{+}=(0,+\infty )$, $x_2\in \mathbb{R}$, $t…