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

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Kenig, Carlos E., Ponce, Gustavo, and Vega, Luis. "On the support of solutions to the generalized KdV equation." Annales de l'I.H.P. Analyse non linéaire 19.2 (2002): 191-208. <http://eudml.org/doc/78543>.

@article{Kenig2002,
author = {Kenig, Carlos E., Ponce, Gustavo, Vega, Luis},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Korteweg-de Vries equation; compact support; Carleman estimates},
language = {eng},
number = {2},
pages = {191-208},
publisher = {Elsevier},
title = {On the support of solutions to the generalized KdV equation},
url = {http://eudml.org/doc/78543},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Kenig, Carlos E.
AU - Ponce, Gustavo
AU - Vega, Luis
TI - On the support of solutions to the generalized KdV equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 2
SP - 191
EP - 208
LA - eng
KW - Korteweg-de Vries equation; compact support; Carleman estimates
UR - http://eudml.org/doc/78543
ER -

References

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  1. [1] Bourgain J., On the compactness of the support of solutions of dispersive equations, Internat. Math. Res. Notices9 (1997) 437-447. Zbl0882.35106MR1443322
  2. [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. [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. [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. [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. [6] Kenig C.E., Ponce G., Vega L., Higher-order nonlinear dispersive equations, Proc. Amer. Math. Soc.122 (1994) 157-166. Zbl0810.35122MR1195480
  7. [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. [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. [9] Saut J.-C., Scheurer B., Unique continuation for some evolution equations, J. Differential Equations66 (1987) 118-139. Zbl0631.35044MR871574
  10. [10] Stein E.M., Harmonic Analysis, Princeton University Press, 1993. Zbl0821.42001MR1232192
  11. [11] Tarama S., Analytic solutions of the Korteweg–de Vries equation, preprint. 
  12. [12] Zhang B.-Y., Unique continuation for the Korteweg–de Vries equation, SIAM J. Math. Anal.23 (1992) 55-71. Zbl0746.35045MR1145162

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