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math.AP2021
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…
math.AP2021★ 5 cited
Explicit formula of radiation fields of free waves with applications on channel of energy
Liang Li, Ruipeng Shen, Lijuan Wei
In this work we give a few explicit formulas regarding the radiation fields of linear free waves. We then apply these formulas on the channel of energy theory. We characterize all…
math.AP2021
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…