4 papers · 1 filter
Construction of multi solitary waves with symmetry for the damped nonlinear Klein-Gordon equation
Raphaël Côte, Haiming Du
We are interested in the nonlinear damped Klein-Gordon equation \[ \partial_t^2 u+2α\partial_t u-Δu+u-|u|^{p-1}u=0 \] on for and energy sub-critical ex…
On the set of non radiative solutions for the energy critical wave equation
Raphaël Côte, Camille Laurent
Non radiative solutions of the energy critical non linear wave equation are global solutions that furthermore have vanishing asymptotic energy outside the lightcone at both $t…
Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schr{ö}dinger equations
Raphaël Côte, Xavier Friederich
We study pointwise spatial decay of multi-solitons of the generalized Korteweg-de Vries equations. We obtain that, uniformly in time, these solutions and their derivatives decay ex…
Concentration close to the cone for linear waves
Raphaël Côte, Camille Laurent
We are concerned with solutions to the linear wave equation. We give an asymptotic formula for large time, valid in the energy space, via an operator related to the Radon transform…