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

In the paper, the problems of controllability and approximate controllability are studied for the control system $w_t=\Delta w$, $w_{x_1}(0,x_2,t)=u(t)\delta(x_2)$, $x_1>0$, $x_2\in\mathbb R$, $t\in(0,T)$, where $u\in L^\infty(0,T)$ is a control. To this aid, it is investigated the set $\math...

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Datum:2025
Hauptverfasser: Fardigola, Larissa, Khalina, Kateryna
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2025
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Online Zugang:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1092
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Назва журналу:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry