2022/03/09 by Gustafson, Stephen, Inui, Takahisa
#35Q55 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2203.04495
We consider odd solutions to the Schrödinger equation with the L2-supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution scatters or blows up if its action is less than twice as that of the ground state. In the present paper, we show that the odd solutions with the action as twice as that of the ground state scatter or blow up.