Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence

Wei-Min Wang[1]

  • [1] Département de Mathématique Université Paris Sud 91405 Orsay Cedex

Séminaire Équations aux dérivées partielles (2009-2010)

  • Volume: 18, Issue: 1, page 1-18

Abstract

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We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a geometric selection in the Fourier space. This method is applicable to other nonlinear equations.

How to cite

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Wang, Wei-Min. "Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence." Séminaire Équations aux dérivées partielles 18.1 (2009-2010): 1-18. <http://eudml.org/doc/251162>.

@article{Wang2009-2010,
abstract = {We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a geometric selection in the Fourier space. This method is applicable to other nonlinear equations.},
affiliation = {Département de Mathématique Université Paris Sud 91405 Orsay Cedex},
author = {Wang, Wei-Min},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {delay; differential equation; periodic solution; topological degree},
language = {chi},
number = {1},
pages = {1-18},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence},
url = {http://eudml.org/doc/251162},
volume = {18},
year = {2009-2010},
}

TY - JOUR
AU - Wang, Wei-Min
TI - Supercritical nonlinear Schrödinger equations: Quasi-periodic solutions and almost global existence
JO - Séminaire Équations aux dérivées partielles
PY - 2009-2010
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 18
IS - 1
SP - 1
EP - 18
AB - We construct time quasi-periodic solutions and prove almost global existence for the energy supercritical nonlinear Schrödinger equations on the torus in arbitrary dimensions. The main new ingredient is a geometric selection in the Fourier space. This method is applicable to other nonlinear equations.
LA - chi
KW - delay; differential equation; periodic solution; topological degree
UR - http://eudml.org/doc/251162
ER -

References

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