2 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.AP2022
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…