Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2024

Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations

Abstract

We consider a Schrödinger equation with a nonlinearity which is a general perturbation of a power" nonlinearity. We construct a profile decomposition adapted to this nonlinearity.We also prove global existence and scattering in a general defocusing setting, assuming thatthe critical Sobolev norm is bounded in the energy-supercritical case. This generalizes severalprevious works on double-power nonlinearities.
Fichier principal
Vignette du fichier
ScatteringDoublePower20_1.pdf (571.02 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04398984 , version 1 (17-01-2024)
hal-04398984 , version 2 (10-02-2024)

Identifiers

Cite

Thomas Duyckaerts, Phan van Tin. Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations. 2024. ⟨hal-04398984v2⟩
7 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More