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The radial defocusing energy-supercritical NLS in dimension four

Article ID Journal Published Year Pages File Type
5774254 Journal of Differential Equations 2017 25 Pages PDF
Abstract
We consider the radial defocusing nonlinear Schrödinger equations iut+Δu=|u|pu with supercritical exponent p>4 in four space dimensions, and prove that any radial solution that remains bounded in the critical Sobolev space must be global and scatter.
Keywords
35P2547J3535Q55Nonlinear Schrödinger equationScatteringConcentration-compactness
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
The radial defocusing energy-supercritical NLS in dimension four
Authors
Chao Lu, Jiqiang Zheng,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35P25
47J35
35Q55
Nonlinear Schrödinger equation
Scattering
Concentration-compactness
Algebra and Number Theory
Analysis
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