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A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
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🧮 math.AP
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radialscatteringbelowcubicfocusinggroundproofstate
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We revisit the scattering result of Holmer and Roudenko on the radial focusing cubic NLS in three space dimensions. Using the radial Sobolev embedding and a virial/Morawetz estimate, we give a simple proof of scattering below the ground state that avoids the use of concentration compactness.
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