Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
We consider a mass-critical system of nonlinear Schrödinger equations \begin{document}$ \left\{ \begin{split} i\partial_t u + \;\; \Delta u & = \bar{u}v,\\ i\partial_t v +\kappa \Delta v & = u^2, \end{split} \right. \qquad (t,x)\in \mathbb{R}\times \mathbb{R}^4, $\end{document} where $ (u,v) $ is a $ \mathbb{C}^2 $-valued unknown function and $ \kappa …