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The radial defocusing energy-supercritical NLS in dimension four - MaRDI portal

The radial defocusing energy-supercritical NLS in dimension four (Q507565)

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The radial defocusing energy-supercritical NLS in dimension four
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    The radial defocusing energy-supercritical NLS in dimension four (English)
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    6 February 2017
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    From the abstract: We consider the radial defocusing nonlinear Schrödinger equations \(iu_t +\Delta u = |u|^p u\) 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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    nonlinear Schrödinger equation
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    scattering
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    long-time Strichartz estimate
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    energy supercritical
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    concentration-compactness
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