Geodesic
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.
Geometric and functional analysis, Tome 3 (1993) no. 6, pp. 209-262.

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Mots-clés : periodic solution, Fourier analysis, integral equation, Korteweg-de Vries equation, Picard's theorem, local solutions, global solution 
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     author = {J. Bourgain},
     title = {Fourier {Transform} {Restriction} {Phenomena} for {Certain} {Lattice} {Subsets} and {Applications} to {Nonlinear} {Evolution} {Equations,} {Part} {II:} {The} {KDV} {Equation.}},
     journal = {Geometric and functional analysis},
     pages = {209--262},
     publisher = {mathdoc},
     volume = {3},
     number = {6},
     year = {1993},
     zbl = {0787.35098},
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J. Bourgain. Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.. Geometric and functional analysis, Tome 3 (1993) no. 6, pp. 209-262. http://geodesic.mathdoc.fr/item/GFA_1993__3_6_58123/