Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices

Hideo Yamahara

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 1, page 147-160
  • ISSN: 0240-2963

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Yamahara, Hideo. "Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.1 (2000): 147-160. <http://eudml.org/doc/73508>.

@article{Yamahara2000,
author = {Yamahara, Hideo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {minimal polynomial of the principal part; well-posedness},
language = {eng},
number = {1},
pages = {147-160},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices},
url = {http://eudml.org/doc/73508},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Yamahara, Hideo
TI - Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 1
SP - 147
EP - 160
LA - eng
KW - minimal polynomial of the principal part; well-posedness
UR - http://eudml.org/doc/73508
ER -

References

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  1. [1] Ohya ( Y.). - Le problème de Cauchy pour les équations hyperboliques à caractéristiques multiples, J. Math. Soc. Japan, 16 (1964), 268-286. Zbl0143.13602MR179445
  2. [2] Leray ( J.) et Ohya ( Y.). — Systèmes linéaires, hyperboliques nonstricts, Deuxième Colloque sur l'Analyse fonctionelle à Liège, 1964. Zbl0135.14804MR190544
  3. [3] Bronstein ( M.D.). - The parametrix of the Cauchy problem for hyperbolic operator with characteristics of variable multiplicity, Trudy Moscow Math., 41 (1980), 83-90. Zbl0468.35062MR427842
  4. [4] Kajitani ( K.). - Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes, J. Math. Kyoto Univ., 23 (1983), 599-616. Zbl0544.35063MR721386
  5. [5] Nishitani ( T.). — Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes, J. Math. Kyoto Univ., 23 (1983), 739-773. Zbl0552.35051MR721386
  6. [6] Mizohata ( S.). — On the Cauchy problem, Academic Press, 1985. Zbl0616.35002MR860041
  7. [7] Yamahara ( H.). - A remark of Cauchy problem for hyperbolic systems with constant multiplicities, in preparation. 
  8. [8] Vaillant ( J.). - Systèmes d'équations aux dérivées partielles et classes de Gevrey, C. R. Acad. Sci.Paris, 320 (1995), 1469-1474. Zbl0836.35033MR1340055
  9. [9] Vaillant ( J.). - Invariants des systèmes d'opérateurs différentiels et sommes formelles asymptotiques I, II, to appear in Japanese Journal of Mathematics. Zbl0941.35138MR1698354

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