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Wang, W.-M.

Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions. (English) Zbl 1342.35358

Duke Math. J. 165, No. 6, 1129-1192 (2016).
Summary: 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.

Cited in 34 Documents

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35M10 PDEs of mixed type
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
35B10 Periodic solutions to PDEs
35B32 Bifurcations in context of PDEs

Keywords:

quasi-periodic solutions; quasiperiodic solutions; nonlinear Schrödinger equations; Lyapunov-Schmidt decomposition; bifurcation analysis
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\textit{W. M. Wang}, Duke Math. J. 165, No. 6, 1129--1192 (2016; Zbl 1342.35358)
Full Text: DOI arXiv Euclid

References:

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