Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné

Thierry Colin

Journées équations aux dérivées partielles (1997)

  • page 1-10
  • ISSN: 0752-0360

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Colin, Thierry. "Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné." Journées équations aux dérivées partielles (1997): 1-10. <http://eudml.org/doc/93345>.

@article{Colin1997,
author = {Colin, Thierry},
journal = {Journées équations aux dérivées partielles},
keywords = {compactness method; Sobolev space; a priori estimates; smoothness effect},
language = {fre},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné},
url = {http://eudml.org/doc/93345},
year = {1997},
}

TY - JOUR
AU - Colin, Thierry
TI - Un problème aux limites pour l'équation de Korteweg-de Vries sur un intervalle borné
JO - Journées équations aux dérivées partielles
PY - 1997
PB - Ecole polytechnique
SP - 1
EP - 10
LA - fre
KW - compactness method; Sobolev space; a priori estimates; smoothness effect
UR - http://eudml.org/doc/93345
ER -

References

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  1. [1] Bona J. and Smith R., The initial-value problem for the Korteweg-de Vries equation, Phil. Trans. Roy. Soc. London A, 278, p. 555-601, (1975). Zbl0306.35027MR52 #6219
  2. [2] Bona J. and Winther R.The Korteweg-de Vries equation posed in a quarter-plane, SIAM J. Math. Anal, 14, p. 1056-1106, (1983). Zbl0529.35069MR85c:35076
  3. [3] Bona J. and Winther R., The Korteweg-de Vries equation in a quarter plane, continuous dependence results, Differential and Integral Equations, 2, p. 228-250, (1989). Zbl0734.35120MR90e:35134
  4. [4] Bourgain, J.Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation, Geom. Funct. Anal. 3, No.3, 209-262 (1993). Zbl0787.35098MR95d:35160b
  5. [5] Bubnov B., Generalized boundary-value problems for the Korteweg-de Vries equation in bounded regions, Sov. Math., Dokl. 20, p.685-688 (1979). Zbl0426.35081
  6. [6] Bubnov B., Solvability in the large of nonlinear boundary-value problem for the Korteweg-de Vries equation in bounded regions, Differ. Equations 16, p. 24-30 (1980). Zbl0451.35066MR81e:35111
  7. [7] Colin T. and Ghidaglia J.-M., An initial-bounary-value problem for the Korteweg-de Vries equation posed on a finite interval, en préparation. Zbl1022.35055
  8. [8] Kenig C.E., Ponce G. and Vega L., A bilinear estimate with application to the KdV equation, J. Am. Math. Soc. 9, No.2, 573-603 (1996). Zbl0848.35114MR96k:35159

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