Nonlinear Evolution Equations and Analyticity. I

Tosio Kato; Kyûya Masuda

Annales de l'I.H.P. Analyse non linéaire (1986)

  • Volume: 3, Issue: 6, page 455-467
  • ISSN: 0294-1449

How to cite

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Kato, Tosio, and Masuda, Kyûya. "Nonlinear Evolution Equations and Analyticity. I." Annales de l'I.H.P. Analyse non linéaire 3.6 (1986): 455-467. <http://eudml.org/doc/78123>.

@article{Kato1986,
author = {Kato, Tosio, Masuda, Kyûya},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear evolution equation; Banach space; Lyapunov functions; Korteweg- de Vries; Benjamin-Ono equations; analytic continuation},
language = {eng},
number = {6},
pages = {455-467},
publisher = {Gauthier-Villars},
title = {Nonlinear Evolution Equations and Analyticity. I},
url = {http://eudml.org/doc/78123},
volume = {3},
year = {1986},
}

TY - JOUR
AU - Kato, Tosio
AU - Masuda, Kyûya
TI - Nonlinear Evolution Equations and Analyticity. I
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1986
PB - Gauthier-Villars
VL - 3
IS - 6
SP - 455
EP - 467
LA - eng
KW - nonlinear evolution equation; Banach space; Lyapunov functions; Korteweg- de Vries; Benjamin-Ono equations; analytic continuation
UR - http://eudml.org/doc/78123
ER -

References

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  1. [1] N. Bourbaki, Fonctions d'une variable réelle. Paris, Hermann, 1949. Zbl0036.16801
  2. [2] P. Deift and E. Trubowitz, Inverse scattering on the line, Comm. Pure Appl. Math., t. 32, 1979, p. 121-251. Zbl0388.34005MR512420
  3. [3] J. Fritz and R.L. Dobrushin, Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction, Comm. Math. Phys., t. 57, 1977, p. 67-81. MR469025
  4. [4] R.J. Iorio, Jr., On the Cauchy problem for the Benjamin-Ono equation, Comm. Partial Differential Equations, t. 11, 1986, p. 1031-1081. Zbl0608.35030MR847994
  5. [5] T. Kato, The Cauchy problem for quasi-linear symmetric hyperbolic systems, Arch. Rational Mech. Anal., t. 58, 1975, p. 181-205. Zbl0343.35056MR390516
  6. [6] T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in Appl. Math., Advances in Math. Suppl. Studies, t. 8, Academic Press, 1983, p. 93-128. Zbl0549.34001MR759907
  7. [7] M. Nagumo, Über das Anfangswertproblem partieller Differentialgleichungen, Japan. J. Math., t. 18. 1942, p. 41-47. Zbl0061.21107MR15186

Citations in EuDML Documents

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  1. Nakao Hayashi, Saburou Saitoh, Analyticity and smoothing effect for the Schrödinger equation
  2. Nakao Hayashi, Keiichi Kato, Pavel I. Naumkin, On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
  3. Jerry L. Bona, Zoran Grujić, Henrik Kalisch, Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
  4. Anne de Bouard, Nakao Hayashi, Keiichi Kato, Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
  5. Henrik Kalisch, Xavier Raynaud, On the rate of convergence of a collocation projection of the KdV equation

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