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Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
Geometric and functional analysis, Tome 3 (1993) no. 6, pp. 107-156

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Mots-clés : periodic solution, Strichartz inequality, harmonic analysis method, nonlinear periodic Schrödinger equation, Picard's fixed point method, local solution, global solution, multiple Fourier series 
J. Bourgain. Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.. Geometric and functional analysis, Tome 3 (1993) no. 6, pp. 107-156. http://geodesic.mathdoc.fr/item/GFA_1993__3_6_58115/
@article{GFA_1993__3_6_58115,
     author = {J. Bourgain},
     title = {Fourier {Transform} {Restriction} {Phenomena} for {Certain} {Lattice} {Subsets} and {Applications} to {Nonlinear} {Evolution} {Equations,} {Part} {I:} {Schr\"odinger} {Equations.}},
     journal = {Geometric and functional analysis},
     pages = {107--156},
     year = {1993},
     volume = {3},
     number = {6},
     zbl = {0787.35097},
     url = {http://geodesic.mathdoc.fr/item/GFA_1993__3_6_58115/}
}
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