On Strongly Interacting Internal Solitary Waves

Journal of Fourier Analysis and Applications

Volumn 2, Issue 5, 1996, Pages

  Marshall Ash, J ^a   Cohen, Jonathan ^a   Wang, Gang ^a  

^a DEPAUL UNIVERSITY   (United States)

Author keywords

Global well posedness; Korteweg de Vries system; Local well posedness

Indexed keywords

EID: 21444448326     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. [BPST] Bona, J. L., Ponce, G., Saut, J.-C., and Tom, M. M. (1992). A model system for strong interaction between internal solitary waves. Comm. Math. Phys. 143, 287-313.
2. [B] Bourgain, J. (1993). Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. Geom. Funct. Anal. 3, Part I: 107-156 and Part II: 209-262.
3. [GG] Gear, J. A., and Grimshaw, R. (1984). Weak and strong interactions between internal solitary waves. Stud. Appl. Math. 65, 235-258.
4. [KPV1] Kenig, C. E., Ponce, G., and Vega, L. (1993). The Cauchy problem for the Korteweg-De Vries equation in Sobolev spaces of negative indices. Duke Math. J. 71, 1-21.
5. [KPV2] _. A bilinear estimate with applications to the KdV equation. J. Amer. Math. Soc., to appear.