Problème de Cauchy pour des opérateurs fuchsiens

Antonio Bove

Journées équations aux dérivées partielles (1984)

  • Volume: 299, page 1-15
  • ISSN: 0752-0360

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Bove, Antonio. "Problème de Cauchy pour des opérateurs fuchsiens." Journées équations aux dérivées partielles 299 (1984): 1-15. <http://eudml.org/doc/93109>.

@article{Bove1984,
author = {Bove, Antonio},
journal = {Journées équations aux dérivées partielles},
keywords = {existence; uniqueness; propagation of singularity; strictly hyperbolic; Fuchsian hyperbolic operator; polynomial index; Cauchy problem; unique solution; wave front set; Euler-- equation},
language = {fre},
pages = {1-15},
publisher = {Ecole polytechnique},
title = {Problème de Cauchy pour des opérateurs fuchsiens},
url = {http://eudml.org/doc/93109},
volume = {299},
year = {1984},
}

TY - JOUR
AU - Bove, Antonio
TI - Problème de Cauchy pour des opérateurs fuchsiens
JO - Journées équations aux dérivées partielles
PY - 1984
PB - Ecole polytechnique
VL - 299
SP - 1
EP - 15
LA - fre
KW - existence; uniqueness; propagation of singularity; strictly hyperbolic; Fuchsian hyperbolic operator; polynomial index; Cauchy problem; unique solution; wave front set; Euler-- equation
UR - http://eudml.org/doc/93109
ER -

References

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  1. [1] N.S. Baouendi, C. Goulaouic : Cauchy problem with characteristic initial hypersurface, C.P.A.M., 26 (1973), 455-475. Zbl0256.35050MR49 #3296
  2. [2] I. Boutet de Monvel : Hypoelliptic operators with double characteristic and related pseudo-differential operators, C.P.A.M., 27 (1974), 585-639. Zbl0294.35020MR51 #6498
  3. [3] A. Bove, J.E. Lewis, C. Parenti : Propagation of singularities for Fuchsian operators, Lecture Notes in Math., 984 (1983). Zbl0507.58002MR85f:35133
  4. [4] A. Bove, J.E. Lewis, C. Parenti : Cauchy problem for Fuchsian Hyperbolic operators, à paraître. Zbl0582.35074
  5. [5] J. Chazarain : Reflection of C∞ singularities... Publ. R.I.M.S. Kyoto, 12 (suppl.) (1977), 39-52. Zbl0365.35050MR57 #10288
  6. [6] N. Hanges : Parametrix and propagation of singularities... Indiana Univ. Math. J., 28 (1979), 86-97. Zbl0413.35073MR82c:35084
  7. [7] M. Kashiwara, T. Oshima : Systems of differential equations with regular singularities..., Ann. Math., 106 (1977), 145-200. Zbl0358.35073MR58 #2914
  8. [8] R.B. Melrose, J. Sjöstrand : Singularities of boundary value problems, I, C.P.A.M., 39 (1978), 593-617. Zbl0368.35020MR58 #11859
  9. [9] T. Ôaku : A canonical form..., Invent. Math., 65 (1982), 491-515. Zbl0493.35083MR83b:58074
  10. [10] H. Tahara : Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math., 5 (1979), 245-347. Zbl0431.35004MR83g:35061
  11. [11] H. Tahara : Singular hyperbolic systems I, II, III, J. Fac. Sci. Univ. Tokyo 26 (1979), 213-238 ; 26 (1979), 391-412 ; 27 (1980), 465-507. Zbl0463.35053
  12. [12] H. Tahara : Singular hyperbolic systems IV, Japan. J. Math., 8 (1982) 297-30. Zbl0514.35048MR86b:35124

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