Geodesic
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 
@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},
     publisher = {mathdoc},
     volume = {3},
     number = {6},
     year = {1993},
     zbl = {0787.35097},
     url = {http://geodesic.mathdoc.fr/item/GFA_1993__3_6_58115/}
}
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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/