Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.

J. Bourgain

Geometric and functional analysis (1993)

  • Volume: 3, Issue: 3, page 209-262
  • 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 II: The KDV Equation.." Geometric and functional analysis 3.3 (1993): 209-262. <http://eudml.org/doc/58123>.

@article{Bourgain1993,
author = {Bourgain, J.},
journal = {Geometric and functional analysis},
keywords = {periodic solution; Fourier analysis; integral equation; Korteweg-de Vries equation; Picard's theorem; local solutions; global solution},
number = {3},
pages = {209-262},
title = {Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.},
url = {http://eudml.org/doc/58123},
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 II: The KDV Equation.
JO - Geometric and functional analysis
PY - 1993
VL - 3
IS - 3
SP - 209
EP - 262
KW - periodic solution; Fourier analysis; integral equation; Korteweg-de Vries equation; Picard's theorem; local solutions; global solution
UR - http://eudml.org/doc/58123
ER -

Citations in EuDML Documents

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  1. Thierry Colin, Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné
  2. Adrian Constantin, Joachim Escher, Global existence and blow-up for a shallow water equation
  3. Claudio Muñoz, H 1 -stability of mKdV multi-kinks
  4. Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi, Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition
  5. Claudio Muñoz, L 2 -stability of multi-solitons
  6. Sergiu Klainerman, Matei Machedon, On the algebraic properties of the H n 2 , 1 2 spaces
  7. Walid Ben Youssef, Thierry Colin, Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems
  8. Felipe Linares, Jaime H. Ortega, On the controllability and stabilization of the linearized Benjamin-Ono equation
  9. Thomas Kappeler, Jürgen Pöschel, On the periodic KdV equation in weighted Sobolev spaces
  10. Pierre Germain, Space-time resonances

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