3 papers
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…
math.OC2018
On the Observability Inequality of Coupled Wave Equations: the Case without Boundary
Yan Cui, Camille Laurent, Zhiqiang Wang
In this paper, we study the observability and controllability of wave equations coupled by first or zero order terms on a compact manifold. We adopt the approach in Dehman-Lebeau's…