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math.AP2022
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the…
math.AP2022
Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with -supercritical and -subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko s…
math.AP2022
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
Stephen Gustafson, Takahisa Inui
We consider odd solutions to the Schrödinger equation with the -supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution sca…