The radial defocusing energy-supercritical NLS in dimension four

Abstract

We consider the radial defocusing nonlinear Schrödinger equations $i{u}_t+\Delta u=|u{|}^{p}u$ 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.

20 pages. arXiv admin note: text overlap with arXiv:1305.3993; substantial text overlap with arXiv:1401.4766 by other authors

References in corpus (7)

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• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
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