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.
               
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