Gain of regularity for equations of KdV type

W. Craig; T. Kappeler; W. Strauss

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 2, page 147-186
  • ISSN: 0294-1449

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Craig, W., Kappeler, T., and Strauss, W.. "Gain of regularity for equations of KdV type." Annales de l'I.H.P. Analyse non linéaire 9.2 (1992): 147-186. <http://eudml.org/doc/78274>.

@article{Craig1992,
author = {Craig, W., Kappeler, T., Strauss, W.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {regularity},
language = {eng},
number = {2},
pages = {147-186},
publisher = {Gauthier-Villars},
title = {Gain of regularity for equations of KdV type},
url = {http://eudml.org/doc/78274},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Craig, W.
AU - Kappeler, T.
AU - Strauss, W.
TI - Gain of regularity for equations of KdV type
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 2
SP - 147
EP - 186
LA - eng
KW - regularity
UR - http://eudml.org/doc/78274
ER -

References

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  1. [Co] A. Cohen, Solutions of the Korteweg-de Vries Equation from Irregular Data, Duke Math. J., Vol. 45, 1978, pp. 149-181. Zbl0372.35022MR470533
  2. [CS] P. Constantin and J.C. Saut, Local Smoothing Properties of Dispersive Equations, J. A.M.S., Vol. 1, 1988, pp. 413-439. Zbl0667.35061MR928265
  3. [CG] W. Craig and J. Goodman, Linear Dispersive Equations of Airy Type, J. Diff. Equ., Vol. 87, 1990, pp. 38-61. Zbl0709.35090MR1070026
  4. [CKS] W. Craig, T. Kappeler and W. Strauss, Infinite Gain of Regularity for Dispersive Evolution Equations, Microlocal Analysis and Nonlinear Waves, I.M.A., Vol. 30, Springer, 1991, pp. 47-50. Zbl0767.35076MR1120283
  5. [GV] J. Ginibre and G. Velo, Commutator Expansions and Smoothing Properties of GeneralizedBenjamin-Ono Equations, preprint. Zbl0705.35126
  6. [HO] N. Hayashi and T. Ozawa, Smoothing Effect for Some Schrödinger Equations, J. of Funct. Anal., Vol. 85, 1989, pp. 307-348. Zbl0681.35079MR1012208
  7. [HNT1] N. Hayashi, K. Nakamitsu and M. Tsutsumi, On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equation in One Space Dimension, Math. Z., Vol. 192, 1986, pp. 637-650. Zbl0617.35025MR847012
  8. [HNT2] N. Hayashi, K. Nakamitsu and M. Tsutsumi, On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equation, J. Funct. Anal., Vol. 71, (1987), pp. 218-245. Zbl0657.35033MR880978
  9. [Ka] T. Kato, On the Cauchy Problem for the (Generalized) Korteweg-de Vries Equation, Adv. in Math. Suppl. Studies; Studies in Appl. Math., Vol. 8, 1983, pp. 93-128. Zbl0549.34001MR759907
  10. [KF] S.N. Kruzhkov and A.V. Faminskii, Generalized Solutions to the Cauchy Problem for the Korteweg-de Vries Equation, Math. U.S.S.R. Sbornik, vol. 48, 1984, pp. 93-138. Zbl0549.35104MR691986
  11. [Po] G. Ponce, Regularity of Solutions to Nonlinear Dispersive Equations, J. Diff. Equ., Vol. 78, 1989, pp. 122-135. Zbl0699.35036MR986156
  12. [Sj] P. Sjölin, Regularity of Solutions to the Schrödinger Equation, Duke Math. J., Vol. 55, 1987, pp. 699-715. Zbl0631.42010MR904948

Citations in EuDML Documents

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  1. Samer Israwi, Variable depth KdV equations and generalizations to more nonlinear regimes
  2. Walter A. Strauss, Smoothing of dispersive waves
  3. Thomas Kappeler, Smoothing of dispersive waves
  4. Jerry L. Bona, S. M. Sun, Bing-Yu Zhang, Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane
  5. Anne de Bouard, Nakao Hayashi, Keiichi Kato, Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations

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