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The radial defocusing energy-supercritical NLS in dimension four

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Abstract We consider the radial defocusing nonlinear Schrodinger equations i u t + Δ u = | u | p u with supercritical exponent p > 4 in four space… Click to show full abstract

Abstract We consider the radial defocusing nonlinear Schrodinger equations i u t + Δ u = | u | p u 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: energy supercritical; defocusing energy; supercritical nls; radial defocusing; dimension four; nls dimension

Journal Title: Journal of Differential Equations
Year Published: 2017

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