ON A GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION - Université Paris 8 Vincennes - Saint-Denis
Preprints, Working Papers, ... Year : 2024

ON A GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

Abstract

We consider a generalized derivative nonlinear Schr\"odinger equation. We prove existence of wave operator under an explicit smallness of the given asymptotic states. Our method bases on studying the associated system used in \cite{Tinpaper4}. Moreover, we show that if the initial data is small enough in $H^2(\R)$ then the associated solution scatters up to a Gauge transformation.
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Dates and versions

hal-04398988 , version 1 (17-01-2024)
hal-04398988 , version 2 (16-11-2024)

Identifiers

  • HAL Id : hal-04398988 , version 2

Cite

Phan van Tin. ON A GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION. 2024. ⟨hal-04398988v2⟩
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