Kavli Affiliate: Yi Zhou
| First 5 Authors: Yan Cui, Yan Cui, , ,
| Summary:
In this paper, we investigate the null controllability of nonlinear wave
systems. Initially, we employ a combination of the Galerkin method and a fixed
point theorem to establish the null controllability for semi-linear wave
equations with nonlinear functions that are dependent on velocities, under the
geometric control condition. Subsequently, utilizing a novel iterative method,
we demonstrate the null controllability for a class of quasi-linear wave
systems in a constructive manner. Lastly, we present a control result for a
class of fully nonlinear wave systems, serving as an application.
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