5 citations · 8 across the 10 of their papers we have counts for
14 papers
The radiation theory of radial solutions to 3D energy critical wave equations
Ruipeng Shen
In this work we consider a wide range of energy critical wave equation in 3-dimensional space with radial data. We are interested in exterior scattering phenomenon, in which the as…
Classification of radial non-radiative solutions to the 5D nonlinear wave equations
Liang Li, Ruipeng Shen, Chenhui Wang
In this work we classify all radial non-radiative solutions to the 5D nonlinear wave equations with a wide range of energy critical nonlinearity. We show that such a solution alway…
Asymptotic behaviour of non-radiative solution to the wave equations
Liang Li, Ruipeng Shen, Chenhui Wang +1
In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial…
Energy distribution of solutions to defocusing semi-linear wave equation in higher dimensional space
Liang Li, Ruipeng Shen
The topic of this paper is a semi-linear, defocusing wave equation in sub-conformal case in the higher dimensional space whose initial data are radical an…
Energy Distribution of solutions to defocusing semi-linear wave equation in two dimensional space
Liang Li, Ruipeng Shen, Lijuan Wei
We consider finite-energy solutions to the defocusing nonlinear wave equation in two dimensional space. We prove that almost all energy moves to the infinity at almost the light sp…
Exterior scattering of non-radial solutions to energy subcritical wave equations
Ruipeng Shen
We consider the defocusing, energy subcritical wave equation in dimension and prove the exterior scattering of solutions if $…