Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.

J. Bourgain

Geometric and functional analysis (1993)

  • Volume: 3, Issue: 2, page 107-156
  • ISSN: 1016-443X; 1420-8970/e

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Bourgain, J.. "Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.." Geometric and functional analysis 3.2 (1993): 107-156. <http://eudml.org/doc/58115>.

@article{Bourgain1993,
author = {Bourgain, J.},
journal = {Geometric and functional analysis},
keywords = {periodic solution; Strichartz inequality; harmonic analysis method; nonlinear periodic Schrödinger equation; Picard's fixed point method; local solution; global solution; multiple Fourier series},
number = {2},
pages = {107-156},
title = {Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.},
url = {http://eudml.org/doc/58115},
volume = {3},
year = {1993},
}

TY - JOUR
AU - Bourgain, J.
TI - Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
JO - Geometric and functional analysis
PY - 1993
VL - 3
IS - 2
SP - 107
EP - 156
KW - periodic solution; Strichartz inequality; harmonic analysis method; nonlinear periodic Schrödinger equation; Picard's fixed point method; local solution; global solution; multiple Fourier series
UR - http://eudml.org/doc/58115
ER -

Citations in EuDML Documents

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  1. Laurent Thomann, The WKB method and geometric instability for nonlinear Schrödinger equations on surfaces
  2. S. Klainerman, Matei Machedon, On the regularity properties of non-linear wave equations
  3. Igor Rodnianski, The wave map problem. Small data critical regularity
  4. Benoît Grébert, Thomas Kappeler, Symmetries of the nonlinear Schrödinger equation
  5. Zaher Hani, Benoit Pausader, Nikolay Tzvetkov, Nicola Visciglia, Growing Sobolev norms for the cubic defocusing Schrödinger equation
  6. Jean-Marc Delort, L’équation de Klein Gordon à données petites
  7. Jean-Marc Delort, Sur le temps d'existence pour l'équation de Klein-Gordon semi-linéaire en dimension 1
  8. Frank Merle, Recent progress on the blow-up problem of Zakharov equations
  9. Nicolas Burq, Patrick Gérard, Nikolay Tzvetkov, Estimées multilinéaires de projecteurs spectraux et équations de Schrodinger non linéaires
  10. Valeria Banica, Evolution by the vortex filament equation of curves with a corner

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