Global dynamics below the ground state for the focusing semilinear Schrödinger equation with a linear potential
type: Item
instance of: scholarly article
title: Global dynamics below the ground state for the focusing semilinear Schrödinger equation with a linear potential
zbMATH Open document ID: 1473.35472
author: Masahiro Ikeda
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-07-09T00:00:00Z
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 7370499
zbMATH Keywords: scattering
zbMATH Keywords: blow-up
zbMATH Keywords: ground state
zbMATH Keywords: semilinear Schrödinger equation
zbMATH Keywords: linear potential
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125291
OpenAlex ID: W3161792645
cites work: Blowup and scattering problems for the nonlinear Schrödinger equations
cites work: High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
cites work: Scattering for NLS with a delta potential
cites work: Q4434430
cites work: On blow-up criterion for the nonlinear Schrödinger equation
cites work: Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
cites work: Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
cites work: INHOMOGENEOUS STRICHARTZ ESTIMATES
cites work: Dispersive estimates for Schrödinger operators in dimensions one and three
cites work: A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
cites work: Divergence of Infinite-Variance Nonradial Solutions to the 3D NLS Equation
cites work: Scattering for a nonlinear Schrödinger equation with a potential
cites work: Scattering threshold for the focusing nonlinear Klein-Gordon equation
cites work: Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
cites work: Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation
cites work: A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
cites work: Endpoint Strichartz estimates
cites work: Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
cites work: The focusing cubic NLS with inverse-square potential in three space dimensions.
cites work: Scattering for NLS with a potential on the line
cites work: Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
cites work: Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential
cites work: Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential
cites work: Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
cites work: Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
cites work: Q3909512
cites work: On the bound states of the nonlinear Schrödinger equation with a linear potential
cites work: The nonlinear Schrödinger equation. Self-focusing and wave collapse
cites work: \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
DOI: 10.1016/J.JMAA.2021.125291
description: scientific article; zbMATH DE number 7370499