Global wellposedness for KDV below L2

Mathematical Research Letters

Volumn 6, Issue 5-6, 1999, Pages 755-778

  Colliander, J ^a   Staffilani, G ^b   Takaoka, H ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b STANFORD UNIVERSITY   (United States)

^c TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033235856     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.1999.v6.n6.a13     Document Type: Article

References (8)

1. [1] J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I,II, Geom. Funct. Anal. 3 (1993), 107-156, 209-262.
2. [2] J. Bourgain, New global wellposedness results for nonlinear Schrödinger equations, preprint, 1998.
3. [3] J. Bourgain, Refinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity, Internat. Math. Res. Notices 5 (1998), 253-283.
4. [4] G. Fonseca, F. Linares, and G. Ponce, Global well-posedness for the modified Korteweg-de Vries equation, Comm. Partial Differential Equations, 24 (1999), 683-705.
5. 1+1 for Rough Data, Internat. Math. Res. Notices, 21 (1998), 1117-1156.
6. [6] C. Kenig, G. Ponce, and L. Vega, A bilinear estimate with applications to the KdV equation, J. Amer. Math. Soc. 9 (1996), 573-603.
7. [7] H. Takaoka, Global Well-posedness for the Kadomtsev-Petviashvili ii Equation, preprint (to appear in Discrete Cont. Dynamical Systems), 1999.
8. [8] N. Tzvetkov, Global low regularity solutions for Kadomtsev-Petviashvili equation preprint (to appear in Differential and Integral Equations), 1999.