Refinements of Strichartz' Inequality and Applications to 2D-NLS with Critical Nonlinearity

International Mathematics Research Notices

Volumn , Issue 5, 1998, Pages 253-283

  Bourgain, J ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000193318     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792898000191     Document Type: Article

References (8)

1. J. Bourgain, "Some new estimates on oscillatory integrals" in Essays on Fourier Analysis in Honor of Elias M. Stein (Princeton, NJ, 1991), Princeton Math. Ser. 42, Princeton Univ. Press, Princeton, 1995, 83-112.
2. _, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I, Schrödinger equations, Geom. Funct. Anal 3 (1993), 107-156.
3. _, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations II, The KdV-equation, Geom. Funct. Anal. 3 (1993), 209-262.
4. T. Cazenave, An Introduction to Nonlinear Schrödinger Equations, Text. Metód. Mat. 26, Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1993.
5. s, Nonlinear Anal. 14 (1990), 807-836.
6. S. Klainerman and M. Machedon, Remark on Strichartz-type inequalities, IMRN (Internat. Math. Res. Notices) 1996, 201-220.
7. A. Moyua, A. Vargas, and L. Vega, Schrödinger maximal function and restriction properties of the Fourier transform, IMRN (Internat. Math. Res. Notices) 1996, 793-815.
8. 3, preprint.