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

Geometric and functional analysis (1993)

- Volume: 3, Issue: 3, page 209-262
- ISSN: 1016-443X; 1420-8970/e

## Access Full Article

top## How to cite

topBourgain, 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

top- Thierry Colin, Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné
- Claudio Muñoz, ${H}^{1}$-stability of mKdV multi-kinks
- 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
- Claudio Muñoz, ${L}^{2}$-stability of multi-solitons
- Sergiu Klainerman, Matei Machedon, On the algebraic properties of the ${H}_{\frac{n}{2},\frac{1}{2}}$ spaces
- Adrian Constantin, Joachim Escher, Global existence and blow-up for a shallow water equation
- Walid Ben Youssef, Thierry Colin, Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems
- Felipe Linares, Jaime H. Ortega, On the controllability and stabilization of the linearized Benjamin-Ono equation
- Pierre Germain, Space-time resonances
- Thomas Kappeler, Jürgen Pöschel, On the periodic KdV equation in weighted Sobolev spaces

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.