Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Author:

Bourgain J.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference27 articles.

1. [BP]E. Bombieri, V. Pila, The number of integral points on arcs and ovals, Duke Math. J. 59 (1989), 337–357.

2. [Bo1]J. Bourgain, On Λ(p)-subsets of squares, Israel J. Math. 67:3 (1989), 291-311.

3. [Bo2]J. Bourgain, Exponential sums and nonlinear Schrödinger equations, GAFA 3 (1993), 157–178.

4. [Bo3]J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part I: Schrödinger Equations, GAFA 3 (1993), 107–156.

5. [CW]T. Cazenave, F. Weissler, The Cauchy problem for the critical nonlinear Schrödinger equation inH s , Nonlinear Analysis, Theory Methods and Applications 14:10 (1990), 807–836.

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