7 citations · 8 across the 4 of their papers we have counts for
7 papers
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…
A scattering operator for some nonlinear elliptic equations
Raphaël Côte, Camille Laurent
We consider non linear elliptic equations of the form for suitable analytic nonlinearity , in the vinicity of infinity in , that is on the com…
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…
Soliton resolution for equivariant wave maps to the sphere
Raphaël Côte
We consider finite energy corotationnal wave maps with target manifold $\m S^2$. We prove that for a sequence of times, they decompose as a sum of decoupled harmonic maps in the li…
Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension
Raphaël Côte, Hatem Zaag
We consider the semilinear wave equation with power nonlinearity in one space dimension. Given a blow-up solution with a characteristic point, we refine the blow-up behavior first…