On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics

Yûsaku Hamada; Gen Nakamura

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1977)

  • Volume: 4, Issue: 4, page 725-755
  • ISSN: 0391-173X

How to cite

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Hamada, Yûsaku, and Nakamura, Gen. "On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 4.4 (1977): 725-755. <http://eudml.org/doc/83768>.

@article{Hamada1977,
author = {Hamada, Yûsaku, Nakamura, Gen},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {725-755},
publisher = {Scuola normale superiore},
title = {On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics},
url = {http://eudml.org/doc/83768},
volume = {4},
year = {1977},
}

TY - JOUR
AU - Hamada, Yûsaku
AU - Nakamura, Gen
TI - On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1977
PB - Scuola normale superiore
VL - 4
IS - 4
SP - 725
EP - 755
LA - eng
UR - http://eudml.org/doc/83768
ER -

References

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  1. [1] J.M. Bony - P. Schapira, Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles, Ann. Inst. Fourier. Grenoble, 26 (1976), pp. 81-140. Zbl0312.35064MR413195
  2. [2] J.- Cl. De Paris, Problème de Cauchy analytique à données singulières pour un opérateur differentiel bien décomposable, J. Math. pures et appl., 51 (1972), pp. 465-488. Zbl0221.35058MR333468
  3. [3] L. Gårding - T. Kotake - J. Leray, Uniformisation et développement asymptotiques de la solution du problème de Cauchy linéaire à données holomorphes, Bull. Soc. math. France, 92 (1964), pp. 263-361. Zbl0147.08101MR196280
  4. [4] B. Granoff - D. Ludwig, Propagation of singularities along characteristics with nonuniform multiplicities, J. Math. Anal. Appl., 21 (1968), pp. 556-574. Zbl0159.39001MR221092
  5. [5] Y. Hamada - J. Leray - C. Wagschal, Systèmes d'équations aux dérivées partielles à caractéristiques multiples : problème de Cauchy ramifié, hyperbolicité partielle, J. Math. pures et appl., t. 55 (1976), p. 297-352. Zbl0307.35056MR435614
  6. [6] J. Leray, Problème de Cauchy I, Bull. Soc. Math. France, 85 (1957), pp. 389-429. Zbl0108.09501MR103328
  7. [7] G. Nakamura, The singularities of solutions of the Cauchy problems for systems whose characteristic roots are non uniform multiple, to appear. Zbl0372.35052MR460843
  8. [8] C. Wagschal, Problème de Cauchy analytique à données méromorphes, J. Math. pure et appl., 51 (1972), pp. 465-488. Zbl0242.35016MR333468
  9. [9] J. Vaillant, Solutions asymptotiques d'un système à caractéristiques de multiplicité variable, J. Math. pures et appl., 53 (1974), pp. 71-98. Zbl0291.35057MR350214

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