17 citations · 17 across the 3 of their papers we have counts for
4 papers · 1 filter
Ground states on a fractured strip and one dimensional reduction
Stefan Le Coz, Boris Shakarov
We consider the nonlinear Schr\''odinger equation on a strip with Neumann boundary conditions and a delta condition on the -axis. First, we show the existence of ground states a…
Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schr{ö}dinger equation
Perla Kfoury, Stefan Le Coz, Tai-Peng Tsai
For the double power one dimensional nonlinear Schr{ö}dinger equation, we establish a complete classification of the stability or instability of standing waves with positive freque…
Stability of multi-solitons for the derivative nonlinear Schr{ö}dinger equation
Stefan Le Coz, Yifei Wu
The nonlinear Schr{ö}dinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbi…
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
Stefan Le Coz, Yvan Martel, Pierre Raphael
We consider a nonlinear Schrödinger equation with double power nonlinearity, where one power is focusing and mass critical and the other mass sub-critical. Classical variational ar…