8 citations · 13 across the 5 of their papers we have counts for
5 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…
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…
Ill-posedness of quintic fourth order Schrödinger equation
Bo Xia, Deng Zhang
We prove that the solution map, associated to the quintic fourth order nonlinear Schrödinger equation, exhibits the norm inflation phenomenon at every point in the Sobolev spaces o…
Generic ill-posedness for wave equation of power type on 3D torus
Bo Xia
In this article, we prove that the equation \begin{equation*} \left\{\begin{split} &(\partial^2_t-Δ)u+|u|^{p-1}u=0,\ \ \ 3\leq p<5 &\big(u(0),\partial_tu(0)\big)=(u_0,u_1)\in H^{s}…
Probabilistic well-posedness for supercritical wave equation on
Chenmin Sun, Bo Xia
In this article, we follow the strategies, listed in \cite{Burq2011} and \cite{OhPo}, in dealing with supercritical cubic and quintic wave equations, we obtain that, the equation \…