Global well-posedness for the defocusing Hartree equation with radial data in ℝ4 (Q5109827)

scientific article; zbMATH DE number 7200545

Language	Label	Description	Also known as
English	Global well-posedness for the defocusing Hartree equation with radial data in ℝ4	scientific article; zbMATH DE number 7200545

Statements

instance of

scholarly article

0 references

title

Global well-posedness for the defocusing Hartree equation with radial data in ℝ4 (English)

0 references

0 references

0 references

0 references

Communications in Contemporary Mathematics

0 references

publication date

13 May 2020

0 references

full work available at URL

https://arxiv.org/abs/1807.05841

0 references

zbMATH Keywords

Hartree equation

0 references

global well-posedness

0 references

$I$-method

0 references

local smoothing effect

0 references

long-time Strichartz estimate

0 references

scattering

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

0 references

Q4255122

0 references

Q4434430

0 references

Scattering Theory Below Energy for a Class of Hartree Type Equations

0 references

Improved Interaction Morawetz Inequalities for the Cubic Nonlinear Schrödinger Equation on ℝ2

0 references

Tensor products and correlation estimates with applications to nonlinear Schrödinger equations

0 references

Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.

0 references

Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3

0 references

Global well-posedness and scattering for the energy-critical Schrödinger equation in $\mathbb R^{3}$

0 references

Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$

0 references

Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state

0 references

Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1

0 references

Global well-posedness and scattering for the defocusing, $L^2$-critical, nonlinear Schrödinger equation when $d=2$

0 references

Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations

0 references

Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension $n\geq{}2$

0 references

Scattering theory in the energy space for a class of nonlinear wave equations

0 references

Generalized Strichartz inequalities for the wave equation

0 references

Q4523969

0 references

LONG RANGE SCATTERING AND MODIFIED WAVE OPERATORS FOR SOME HARTREE TYPE EQUATIONS I

0 references

Long range scattering and modified wave operators for some Hartree type equations. II

0 references

Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions

0 references

Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

0 references

Q3772629

0 references

Endpoint Strichartz estimates

0 references

Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

0 references

Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

0 references

Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

0 references

Q3974678

0 references

The cubic nonlinear Schrödinger equation in two dimensions with radial data

0 references

Global well-posedness and scattering for the defocusing quintic NLS in three dimensions

0 references

The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

0 references

Dispersive estimates for principally normal pseudodifferential operators

0 references

Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps

0 references

The focusing energy-critical Hartree equation

0 references

Q2716066

0 references

Decay and scattering of solutions of a nonlinear Schrödinger equation

0 references

The defocusing energy-supercritical NLS in four space dimensions

0 references

Dynamics for the focusing, energy-critical nonlinear Hartree equation

0 references

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

0 references

Q3610070

0 references

Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

0 references

Global well-posedness and scattering for the mass-critical Hartree equation with radial data

0 references

Global well-posedness and scattering for the defocusing $H^{\frac 1 2}$-subcritical Hartree equation in $\mathbb R^d$

0 references

Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ1+n

0 references

Time decay for the nonlinear Klein-Gordon equation

0 references

Weighted Norm Inequalities for Fractional Integrals

0 references

Intercritical NLS: Critical $\dot{H}^s$-Bounds Imply Scattering

0 references

The defocusing $\dot{H}^{1/2}$-critical NLS in high dimensions

0 references

The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions

0 references

Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2

0 references

Energy scattering for Hartree equations

0 references

Nonlinear scattering with nonlocal interaction

0 references

Bilinear virial identities and applications

0 references

Q4039228

0 references

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4

0 references

Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations

0 references

Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data

0 references

Q5475508

0 references

The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

0 references

The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

0 references

Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions

0 references

Identifiers

zbMATH Open document ID

1434.35136

0 references

DOI

10.1142/S0219199719500044

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5109827