Nonlocal stabilization by starting control of the normal equation generated from Helmholtz system
Optimization and Control
2017-02-28 v2
Abstract
We consider the semilinear parabolic equation of normal type connected with the 3D Helmholtz equation with periodic boundary condition. The problem of stabilization to zero of the solution for normal parabolic equation with arbitrary initial condition by starting control is studied. This problem is reduced to establishing three inequalities connected with starting control, one of which has been proved previously. The proof for the other two is given here.
Keywords
Cite
@article{arxiv.1609.08679,
title = {Nonlocal stabilization by starting control of the normal equation generated from Helmholtz system},
author = {Andrey Fursikov and Lyubov Shatina},
journal= {arXiv preprint arXiv:1609.08679},
year = {2017}
}
Comments
55 pages, 4 figures