41 citations · 125 across the 13 of their papers we have counts for
4 papers · 2 filters
Focusing of Spherical Nonlinear Pulses in , III. Sub and Supercritical cases
Remi Carles, Jeffrey Rauch
We study the validity of geometric optics in for nonlinear wave equations in three space dimensions whose solutions, pulse like, focus at a point. If the amplitude of th…
Semiclassical Nonlinear Schrodinger equations with potential and focusing initial data
Remi Carles, Luc Miller
We study the asymptotic behaviour of solutions to semi-classical nonlinear Schrodinger equations with a potential, for concentrating and oscillating initial data, when the nonlinea…
On the role of quadratic oscillations in nonlinear Schrodinger equations
Remi Carles, Clotilde Fermanian-Kammerer, Isabelle Gallagher
We consider a nonlinear semi-classical Schrodinger equation for which it is known that quadratic oscillations lead to focusing at one point, described by a nonlinear scattering ope…
Nonlinear Schrodinger equations with repulsive harmonic potential and applications
Remi Carles
We study the Cauchy problem for Schrodinger equations with repulsive quadratic potential and power-like nonlinearity. The local problem is well-posed in the same space as that used…