Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations - Part I: Schrödinger equations

Geometric and Functional Analysis

Volumn 3, Issue 2, 1993, Pages 107-156

  Bourgain, J ^a  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250084341     PISSN: 1016443X     EISSN: 14208970     Source Type: Journal    
DOI: 10.1007/BF01896020     Document Type: Article

References (24)

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6. On nonlinear Schrödinger equations
7. On the Cauchy problem for the (generalized) Korteweg-de Vries equation
8. Well-posedness of the initial value problem for the Korteweg-de Vries equation
9. Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation
10. Periodic solutions of the KDV equations
11. Statistical Mechanics of the Nonlinear Schrödinger Equation
12. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
13. Korteweg-de Vries Equation and Generalizations II. Existence of Conservation Laws and Constant of Motion
14. On the Korteweg-de Vries equation: existence and uniqueness
15. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
16. A restriction for the Fourier transform
17. The inverse problem for periodic potentials
18. L2-solutions for nonlinear Schrödinger Equations and nonlinear groups
19. Exact theory of two-dimenional self-focusing and one-dimensional self-modulation of waves in nonlinear media