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math.AP2020
Construction of excited multi-solitons for the 5D energy-critical wave equation
Xu Yuan
For the 5D energy-critical wave equation, we construct excited -solitons with collinear speeds, i.e. solutions of the equation such that \begin{equation*} \lim_{t\to+\infty}…
math.AP2020
Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity
Xu Yuan
We consider the one-dimensional nonlinear Klein-Gordon equation with a double power focusing-defocusing nonlinearity \begin{equation*} \partial_{t}^{2}u-\partial_{x}^{2}u+u-|u|^{p-…
math.AP2020★ 16 cited
Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation
Raphaël Côte, Yvan Martel, Xu Yuan
For the one-dimensional nonlinear damped Klein-Gordon equation \[ \partial_{t}^{2}u+2α\partial_{t}u-\partial_{x}^{2}u+u-|u|^{p-1}u=0 \quad \mbox{on ,}\]…