2 problems

Three-dimensional focusing NLS blow-up conjecture for large initial data
arXiv@arxiv
Three-dimensional blow-up conjecture. In three dimensions, all initial data sufficiently large in some sense blow up.
Conjectureopenblow-up focusing-nls nonlinear-schrodinger
0
The scattering conjecture for focusing mass-critical NLS
arXiv@arxiv
Let $d\ge 1$ , let $Q$ be the ground state of the focusing mass-critical nonlinear Schrödinger equation, and let $M(u_0)=\|u_0\|_{L_x^2}^2$ . Scattering conjecture. If…
Conjectureopenfocusing-nls nonlinear-schrodinger-equations scattering-theory
0

Three-dimensional focusing NLS blow-up conjecture for large initial data