Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies

Hayato Nawa; Hiroaki Kikuchi; Slim Ibrahim; Takafumi Akahori

arxiv: 1510.08034 · v2 · pith:CPOK4Z5Nnew · submitted 2015-10-27 · 🧮 math.AP

Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies

Takafumi Akahori , Slim Ibrahim , Hiroaki Kikuchi , Hayato Nawa This is my paper

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keywords energyabovecombinedcriticalequationsfrequenciesgroundgrowth

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We consider the nonlinear Schrodinger equations with combined type local interactions with energy critical growth, and we study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so called nine set theory developed by Nakanishi and Schlag.

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Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies

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