Local and global Cauchy problems for the Kadomtsev-Petviashvili (KP-II) equation in Sobolev spaces of negative indices

Communications in Partial Differential Equations

Volumn 26, Issue 5-6, 2001, Pages 1027-1054

  Isaza, Pedro ^a   Mejía, Jorge ^a  

^a UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013163891     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100002387     Document Type: Article

References (11)

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3. J. Bourgain, Refinements of Strichartz's Inequality and application to 2D-NLS with critical nonlinearity, IMNR 5 (1998), 253-283.
4. J. Ginibre, Le problème of Cauchy pour des EDP semi-linéaires périodiques in variables d'espace (d'après Bourgain), Seminaire Bourbaki n. 796, Astérisque 237 (1996), 163-187.
5. 2), s > 0, To appear in Diff. and Int. Eqns.
6. C. Kenig, G. Ponce, L. Vega, A bilinear estimate with applications to the KdV Equations, JAMS 9 (1996), 573-603.
7. C. Kenig, G. Ponce, L. Vega, The Cauchy problem for the Korteweg-de Vries Equation in Sobolev Spaces with negative indices, Duke Math. J. 71 (1993), 1-21.
8. H. Takaoka, Well-posedness for the Kadomtsev-Petviashvili II equation, preprint, (1998).
9. N. Tzvetkov, On the Cauchy problem for the KP Equation, Comm. Part. Diff. Eqns. 24 (1999), 1367-1397.
10. N. Tzvetkov, Global low regularity solutions for Kadomtsev-Petviashvili equations, preprint, 1999.
11. H. Takaoka, N. Tzvetkov, On the local regularity for the Kadomtsev-Petviashvili II equation, preprint, (1999).