2 papers
math.AP2022
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…
math.AP2021
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…