2 papers
math.AP2024
Standing wave solutions and instability for the Logarithmic Klein-Gordon equation
Lijia Han, Yue Qiu, Xiaohong Wang
In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity. The existence of the standing wave solution related to the ground state…
math.AP2024
Scattering for the magnetic Zakharov system in 3 dimensions
Xiaohong Wang, Lijia Han
We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smoo…