Some remarks on the Cauchy problem for weakly hyperbolic equations

Ferruccio Colombini

Journées équations aux dérivées partielles (1992)

  • page 1-6
  • ISSN: 0752-0360

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Colombini, Ferruccio. "Quelques remarques sur le problème de Cauchy pour des équations faiblement hyperboliques." Journées équations aux dérivées partielles (1992): 1-6. <http://eudml.org/doc/93244>.

@article{Colombini1992,
author = {Colombini, Ferruccio},
journal = {Journées équations aux dérivées partielles},
keywords = {weakly hyperbolic equations; Cauchy problem; well-posed; characteristic roots},
language = {fre},
pages = {1-6},
publisher = {Ecole polytechnique},
title = {Quelques remarques sur le problème de Cauchy pour des équations faiblement hyperboliques},
url = {http://eudml.org/doc/93244},
year = {1992},
}

TY - JOUR
AU - Colombini, Ferruccio
TI - Quelques remarques sur le problème de Cauchy pour des équations faiblement hyperboliques
JO - Journées équations aux dérivées partielles
PY - 1992
PB - Ecole polytechnique
SP - 1
EP - 6
LA - fre
KW - weakly hyperbolic equations; Cauchy problem; well-posed; characteristic roots
UR - http://eudml.org/doc/93244
ER -

References

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  1. [1] Bronštein M. D., The Cauchy problem for hyperbolic operators with characteristics of variable multiplicity, Trudy Moskov. Mat. Obšč. 41 (1980), 87-103. Zbl0468.35062MR82m:35094
  2. [2] Bronštein M. D., Smoothness of roots of polynomials depending on parameters, Sibirskii Mat. Ž., 20 (1979), 493-501. Zbl0429.30007MR82c:26018
  3. [3] Colombini F., De Giorgi E., Spagnolo S., Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps, Ann. Scuola Norm. Sup. Pisa, 6 (1979), 511-559. Zbl0417.35049MR81c:35077
  4. [4] Colombini F., Jannelli E., Spagnolo S., Well-posedness in the Gevrey classes of the Cauchy problem for a nonstrictly hyperbolic equation with coefficients depending on time, Ann. Scuola Norm. Sup. Pisa, 10 (1983), 291-312. Zbl0543.35056MR85f:35131
  5. [5] Colombini F., Orrù N., On the strong hyperbolicity in the Gevrey classes for some hyperbolic equations, en préparation. Zbl1007.35045
  6. [6] Ivrii V. Ya., Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes, Sibirskii Mat. Ž, 17 (1976), 1256-1270. Zbl0352.35060
  7. [7] Ivrii V. Ya., Correctness in Gevrey classes of the Cauchy problem for some non-strictly hyperbolic operators, Izv. VUZ Mat. (189) (1978), 26-35. Zbl0395.35055
  8. [8] Mizohata S., On the Cauchy problem, Science Press, Beijing, et Academic Press, New York, 1985. Zbl0616.35002MR89a:35007
  9. [9] Uryu H., Conditions for well-posedness in the Gevrey classes of the Cauchy problem for Fuchsian hyperbolic operators, publ. Rims, Kyoto Univ., 21 (1985), 355-383. Zbl0585.35060MR86h:35002

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