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math.AP2024★ 1 cited
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…
math.AP2024
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…
math.AP2024
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…