Resumen de On the wave operators for the critical nonlinear Schr\"odinger equation

Rémi Carles, Tohru Ozawa

• We prove that for the $L^2$-critical nonlinear Schr\"odinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform. We discuss some consequences of this property. In the one-dimensional case, we show a precise similarity between the $L^2$-critical nonlinear Schr\"odinger equation and a nonlinear Schr\"odinger equation of derivative type