| Document Date: 2007-04-04 14:52:25
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Company ukL2 (R N ) kukL2 (RN ) Lp / Qk Lp / 3M / / IndustryTerm trivial solution / sphere blow-up solutions / nonzero energy / positive solutions / hypothetical contracting sphere solutions / blow-up solutions / finite-time radial blow-up solutions / zero-energy solutions / energy conservation laws / self-similar radial blow-up solutions / finite-time blow-up solutions / negative energy / conjectured contracting sphere solutions / soliton solution / heuristic argument suggesting that such solutions / blow-up solution / multi-contracting sphere solutions / radial finite-time blow-up solutions / actual solution / positive energy / ground state solution / minimal mass ground-state solution / energy / / OperatingSystem L3 / / Organization National Science Foundation / / Person JUSTIN HOLMER / SVETLANA ROUDENKO / Jim Colliander / /
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ON BLOW-UP SOLUTIONS TO THE 3D CUBIC NONLINEAR ¨ SCHRODINGER EQUATION JUSTIN HOLMER AND SVETLANA ROUDENKO Abstract. For the 3d cubic nonlinear Schr¨odinger (NLS) equation, which has