Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations - HAL UNIV-PARIS8 - open access
Journal Articles Journal of Differential Equations 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.
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Dates and versions

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

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Thomas Duyckaerts, Phan van Tin. Profile Decomposition And Scattering For General Nonlinear Schrödinger Equations. Journal of Differential Equations, 2024, 410, pp.113-170. ⟨10.1016/j.jde.2024.07.003⟩. ⟨hal-04398984v2⟩
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