On the support of solutions to the generalized KdV equation
Carlos E. Kenig; Gustavo Ponce; Luis Vega
Annales de l'I.H.P. Analyse non linéaire (2002)
- Volume: 19, Issue: 2, page 191-208
- ISSN: 0294-1449
Access Full Article
topHow to cite
topReferences
top- [1] Bourgain J., On the compactness of the support of solutions of dispersive equations, Internat. Math. Res. Notices9 (1997) 437-447. Zbl0882.35106MR1443322
- [2] Ginibre J., Tsutsum Y., Uniqueness of solutions for the generalized Korteweg–de Vries equation, SIAM J. Math. Anal.20 (1989) 1388-1425. Zbl0702.35224MR1019307
- [3] Kato T., On the Cauchy problem for the (generalized) Korteweg–de Vries equation, Advances in Mathematics Supplementary Studies, Studies in Applied Math.8 (1983) 93-128. Zbl0549.34001MR759907
- [4] Kenig C.E., Ponce G., Vega L., Oscillatory integrals and regularity of dispersive equations, Indiana University Math. J.40 (1991) 33-69. Zbl0738.35022MR1101221
- [5] Kenig C.E., Ponce G., Vega L., Well-posedness and scattering results for the generalized Korteweg–de Vries equation via the contraction principle, Comm. Pure Appl. Math.46 (1993) 527-620. Zbl0808.35128MR1211741
- [6] Kenig C.E., Ponce G., Vega L., Higher-order nonlinear dispersive equations, Proc. Amer. Math. Soc.122 (1994) 157-166. Zbl0810.35122MR1195480
- [7] Kenig C.E., Ruiz A., Sogge C., Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators, Duke Math. J.55 (1987) 329-347. Zbl0644.35012MR894584
- [8] Kenig C.E., Sogge C., A note on unique continuation for Schrödinger's operator, Proc. Amer. Math. Soc.103 (1988) 543-546. Zbl0661.35056MR943081
- [9] Saut J.-C., Scheurer B., Unique continuation for some evolution equations, J. Differential Equations66 (1987) 118-139. Zbl0631.35044MR871574
- [10] Stein E.M., Harmonic Analysis, Princeton University Press, 1993. Zbl0821.42001MR1232192
- [11] Tarama S., Analytic solutions of the Korteweg–de Vries equation, preprint.
- [12] Zhang B.-Y., Unique continuation for the Korteweg–de Vries equation, SIAM J. Math. Anal.23 (1992) 55-71. Zbl0746.35045MR1145162