Blow-up phenomenon for the integrable Degasperis-Procesi equation

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 328, Issue 2-3, 2004, Pages 157-162

  Zhou, Yong ^a,b  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b XIAMEN UNIVERSITY   (China)

Author keywords

35Q58; 37L05; Blow up; Integrable equation

Indexed keywords

35Q58; 37L05; BLOW-UP; CAMASSA-HOLM EQUATIONS; DEGASPERIS-PROCESI EQUATIONS; GLOBAL EXISTENCE; INTEGRABLE EQUATIONS; SPECIAL STRUCTURE;

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL;

EID: 3142540879     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.06.027     Document Type: Article

References (21)

1. Bona J.L., Smith R. Philos. Trans. R. Soc. London, Ser. A. 278:1975;555
2. Bourgain J. Geom. Funct. Anal. 3:1993;209
3. Camassa R., Holm D.D. Phys. Rev. Lett. 71:1993;1661
4. Camassa R., Holm D.D., Hyman J. Adv. Appl. Mech. 31:1994;1
5. Constantin A., Escher J. Acta Math. 181:1998;229
6. Constantin A., Escher J. Commun. Pure Appl. Math. 51:1998;475
7. Degasperis A., Holm D.D., Hone A.N.W. Theor. Math. Phys. 133:2002;1461
8. Degasperis A., Procesi M. Degasperis A., Gaeta G. Symmetry and Perturbation Theory, SPT 98, Rome, 16-22 December 1998. 1999;23 World Scientific, River Edge, NJ
9. Dullin H.R., Gottwald G.A., Holm D.D. Fluid Dyn. Res. 33:2003;7395
10. Evans L.C. Partial Differential Equations. Graduate Studies in Mathematics. vol. 19:1998;American Mathematical Society, Providence, RI
11. Kato T. Manuscripta Math. 28:1979;89
12. Kato T. in: Spectral Theory and Differential Equations (Proc. Sympos., Dundee, 1974, dedicated to Konrad Jorgens). Lecture Notes in Mathematics. vol. 48:1975;Springer-Verlag, Berlin. p. 25
13. Li Y., Olver P. J. Differential Equations. 162:2000;27
14. Lundmark H., Szmigielski J. Inverse Problems. 19:2003;1241
15. Shkoller S. J. Funct. Anal. 160:1998;337
16. Whitham G.B. Linear and Nonlinear Waves. 1974;Wiley, New York
17. Xin Z., Zhang P. Commun. Pure Appl. Math. 53:2000;1411
18. Xin Z., Zhang P. Comm. Partial Differential Equations. 27:2002;1815
19. Zhou Y. J. Math. Anal. Appl. 290:2004;591
20. Zhou Y. Nonlinear Analysis. 57:2004;137
21. Y. Zhou, Math. Nachr. (2004), in press