On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
type: Item
instance of: scholarly article
title: On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
zbMATH Open document ID: 1428.35481
author: Vanessa Barros
author: Lucas C. F. Ferreira
author: Ademir Pastor
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2019-10-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1910.00509
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 7121477
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: double-power nonlinearity
zbMATH Keywords: non-local operators
zbMATH Keywords: well-posedness
zbMATH Keywords: scattering
zbMATH Keywords: infinite energy solutions
zbMATH Keywords: asymptotic self-similarity
MaRDI profile type: Publication
OpenAlex ID: W2974405085
arXiv ID: 1910.00509
cites work: Existence of solitary waves in dipolar quantum gases
cites work: Global existence and nonexistence results for a generalized Davey–Stewartson system
cites work: Two-dimensional wave packets in an elastic solid with couple stresses
cites work: The Davey Stewartson system in weak \(L^p\) spaces.
cites work: Dispersion estimates for fourth order Schrödinger equations
cites work: Q4112938
cites work: Infinite energy solutions for Schrödinger-type equations with a nonlocal term
cites work: Q4434430
cites work: Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
cites work: Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation
cites work: More self-similar solutions of the nonlinear Schrödinger equation
cites work: Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
cites work: Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
cites work: On the existence of standing waves for a davey–stewartson system
cites work: Kato-Ponce inequalities on weighted and variable Lebesgue spaces.
cites work: On three-dimensional packets of surface waves
cites work: Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions
cites work: The nonlinear Schrödinger equation. Singular solutions and optical collapse
cites work: The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
cites work: Classical Fourier Analysis
cites work: Modern Fourier Analysis
cites work: On the initial value problem for the Davey-Stewartson systems
cites work: Nonelliptic Schrödinger equations
cites work: Almost conservation law and global rough solutions to a nonlinear Davey-Stewartson equation
cites work: Q3122852
cites work: Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data
cites work: Global existence and asymptotic behaviour in time of small solutions to the elliptic - hyperbolic Davey - Stewartson system
cites work: Local existence in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system in the usual Sobolev space
cites work: Global existence of small solutions to the Davey-Stewartson and the Ishimori systems
cites work: Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
cites work: On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
cites work: Introduction to nonlinear dispersive equations
cites work: The dynamics of the 3D radial NLS with the combined terms
cites work: The dynamics of the NLS with the combined terms in five and higher dimensions
cites work: Convolution operators and L(p, q) spaces
cites work: Regular and self-similar solutions of nonlinear Schrödinger equations
cites work: On the propagation of a three-dimensional packet of weakly nonlinear internal gravity waves
cites work: On the existence of infinite energy solutions for nonlinear Schrödinger equations
cites work: The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
cites work: Q4169289
cites work: On the Davey-Stewartson system with singular initial data
cites work: Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation.
DOI: 10.1007/S00030-019-0584-4
description: scientific article