1 citations · 1 across the 6 of their papers we have counts for
6 papers
Spectrum of linearized operator at ground states of a system of Klein-Gordon equations
Yan Cui, Bo Xia, Kai Yang
Previously, the existence of ground state solutions of a family of systems of Klein-Gordon equations has been widely studied. In this article, we will study the linearized operator…
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…
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…
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…
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…
Asymptotic stability of wave equations coupled by velocities
Yan Cui, Zhiqiang Wang
This paper is devoted to study the asymptotic stability of wave equations with constant coefficients coupled by velocities. By using Riesz basis approach, multiplier method and fre…