The defocusing energy-supercritical NLS in four space dimensions

DOI10.1016/j.jfa.2014.06.016zbMath1300.35132arXiv1305.3993OpenAlexW2963063403MaRDI QIDQ398814

Jason Murphy, Chang Xing Miao, Ji Qiang Zheng

Publication date: 18 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3993

zbMATH Keywords

scatteringnonlinear Schrödinger equationsconcentration-compactnessenergy-supercritical

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Scattering for mass-resonance nonlinear Schrödinger system in 5D, 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 global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases, Large data mass-subcritical NLS: critical weighted bounds imply scattering, Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation, Scattering for three waves nonlinear Schrödinger system with mass-resonance in 5D, 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, Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions, Formation of singularities in nonlinear dispersive PDEs, On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder, Numerical simulations for the energy-supercritical nonlinear wave equation, The defocusing energy-supercritical Hartree 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, Scattering theory for energy-supercritical Klein-Gordon equation, Remark on energy-critical NLS in 5D, 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, The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions

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