Remarks on the Controllability of Some Quasilinear Equations

Details Remarks on the Controllability of Some Quasilinear Equations Remarks on the Controllability of Some Quasilinear Equations

2009-04-16

arxiv.org/abs/0904.2427v1

Mathematics

Optimization and Control

15 pages

Scientific paper

In this Note, we review the main existing results, methods, and some key open problems on the controllability of nonlinear hyperbolic and parabolic equations. Especially, we describe our recent universal approach to solve the local controllability problem of quasilinear time-reversible evolution equations, which is based on a new unbounded perturbation technique. It is also worthy to mention that the technique we develop can also be applied to other problems for quasilinear equations, say local existence, stabilization, etc.

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