Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
Abstract
We consider the combined power-type nonlinear Schrödinger equations with energy-critical growth, and 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.
Topics & Concepts
Nonlinear systemGround stateMathematicsEnergy (signal processing)Power (physics)Type (biology)Dynamics (music)Schrödinger's catState (computer science)Mathematical analysisPhysicsQuantum mechanicsAcousticsStatisticsBiologyAlgorithmEcologyAdvanced Mathematical Physics ProblemsStability and Controllability of Differential EquationsNonlinear Photonic Systems