The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions

DOI10.1080/03605302.2014.949379zbMath1314.35167arXiv1401.4766OpenAlexW1980886538MaRDI QIDQ5246646

Jason Murphy

Publication date: 21 April 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4766

zbMATH Keywords

scatteringnonlinear Schrödinger equationconcentration-compactnesslin-strauss morawetz inequality

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

The radial mass-subcritical NLS in negative order Sobolev spaces ⋮ The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions ⋮ The defocusing energy-supercritical NLS in higher dimensions ⋮ Large data mass-subcritical NLS: critical weighted bounds imply scattering ⋮ Global well-posedness for the defocusing Hartree equation with radial data in ℝ4 ⋮ Defocusing \(\dot{H}^{\frac{ 1}{ 2}} \)-critical inhomogeneous nonlinear Schrödinger equations ⋮ Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds ⋮ Numerical simulations for the energy-supercritical nonlinear wave equation ⋮ Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases ⋮ Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution ⋮ The radial defocusing energy-supercritical NLS in dimension four ⋮ The defocusing quintic NLS in four space dimensions ⋮ Global well-posedness and scattering for the defocusing \(\dot{H}^{1/2}\)-critical nonlinear Schrödinger equation in \(\mathbb{R}^2\) ⋮ On scattering for the defocusing high dimensional inter-critical NLS

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