Energy supercritical nonlinear Schrödinger equations: Quasiperiodic solutions

W.-M. Wang

doi:10.1215/00127094-3167597

Abstract

We construct time quasiperiodic solutions to the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. This introduces a new approach, which could have general applicability.

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W.-M. Wang. "Energy supercritical nonlinear Schrödinger equations: Quasiperiodic solutions." Duke Math. J. 165 (6) 1129 - 1192, 15 April 2016. https://doi.org/10.1215/00127094-3167597

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Received: 24 May 2014; Revised: 3 March 2015; Published: 15 April 2016

First available in Project Euclid: 29 January 2016

zbMATH: 1342.35358

MathSciNet: MR3486416

Digital Object Identifier: 10.1215/00127094-3167597

Subjects:

Primary: 35M20

Secondary: 42A16

Keywords: bifurcation analysis , Lyapunov–Schmidt decomposition , Nonlinear Schrödinger equations , quasiperiodic solutions , quasi-periodic solutions

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