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math.AP2022
Null controllability of damped nonlinear wave equation
Yan Cui, Peng Lu, Yi Zhou
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 t…
math.AP2022
Criteria for finite time blow up for a system of Klein-Gordon equations
Yan Cui, Bo Xia
We give three conditions on initial data for the blowing up of the corresponding solutions to some system of Klein-Gordon equations on the three dimensional Euclidean space. We fir…
math.AP2020
On the asymptotic stability of wave equations coupled by velocities of anti-symmetric type
Yan Cui, Zhiqiang Wang
In this paper, we study the asymptotic stability of two wave equations coupled by velocities of anti-symmetric type via only one damping. We adopt the frequency domain method to pr…