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Nonlocal stabilization by starting control of the normal equation generated by Helmholtz systemстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Fursikov A.V., Shatina L.S.
- Журнал: Discrete and Continuous Dynamical Systems
- Том: 38
- Номер: 3
- Год издания: 2018
- Издательство: Dept. of Mathematics, Southwest Missouri State University
- Местоположение издательства: United States
- DOI: 10.3934/dcds.2018050
- Аннотация: Let $y(t,x;y_0)$ be a solution to the semilinear parabolic equation of normal type generated by the 3D Helmholtz system with periodic boundary conditions and arbitrary initial datum $y_0(x)$. The problem of stabilization to zero of the solution $y(t,x;y_0)$ by starting control is studied. This problem is reduced to establishing three inequalities connected with starting control, one of which has been proved in \cite{F5}, \cite{FSh}. The proof for the other two is given here.
- Добавил в систему: Осипова Любовь Сергеевна