Null controllability of semi-linear fourth order parabolic equations. (English) Zbl 1439.35216
Summary: In this paper, we consider a semi-linear fourth order parabolic equation in a bounded smooth domain \(\Omega\) with homogeneous Dirichlet and Neumann boundary conditions. The main result of this paper is the null controllability and the exact controllability to the trajectories at any time \(T > 0\) for the associated control system with a control function acting at the interior.
MSC:
| 35K35 | Initial-boundary value problems for higher-order parabolic equations |
| 93B05 | Controllability |
| 93B07 | Observability |
| 93C20 | Control/observation systems governed by partial differential equations |
Keywords:
linear and semi-linear fourth order parabolic equation; global Carleman estimate; observability; null controllability; exact controllabilityReferences:
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