Globalizing estimates for the periodic KPI equation

Illinois Journal of Mathematics

Volumn 40, Issue 4, 1996, Pages 692-698

  Colliander, James E ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000710166     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1255985944     Document Type: Article

References (7)

1. J. BOURGAIN, On the Cauchy Problem for the Kadomtsev-Petviashvili Equation, Geom. Functional Anal., 3 (1993), 315-341.
2. B. B. KADOMTSEV and V. I. PETVIASHVILI, On the stability of solitary waves in weakly dispersive media, Sov. Phys. Dokl. 15 (1970), 539-545.
3. P. LAX, Periodic solutions of the KdV equation, Comm. Pure Appl. Math. 28 (1975), 141-188.
4. S. NOVIKOV, S. V. MANAKOV, L. D. PITAEVSKII, and V. E. ZAKHAROV, Theory of solitons: The inverse scattering method, Consultants Bureau, New York, 1984.
5. J. C. SAUT, Remarks on the generalized Kadomtsev-Petviashvili equations, Indiana Univ. Math. J. 42 (1993), 1011-1026.
6. M. SCHWARZ, JR., Periodic solutions of Kadomtsev-Petviashvili, Adv. Math. 66 (1987), 217-233.
7. S. UKAI, "On the Cauchy problem for the KP equation" in Recent Topics in Nonlinear PDE IV, Lecture Notes Numer. Appl. Anal., vol. 10, Kinokuniya Book Store, Tokyo, 1989, pp. 179-184.