Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable

Serge Alinhac

Journées équations aux dérivées partielles (1975)

  • Volume: 34-35, page 3-26
  • ISSN: 0752-0360

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Alinhac, Serge. "Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable." Journées équations aux dérivées partielles 34-35 (1975): 3-26. <http://eudml.org/doc/92955>.

@article{Alinhac1975,
author = {Alinhac, Serge},
journal = {Journées équations aux dérivées partielles},
language = {fre},
pages = {3-26},
publisher = {Ecole polytechnique},
title = {Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable},
url = {http://eudml.org/doc/92955},
volume = {34-35},
year = {1975},
}

TY - JOUR
AU - Alinhac, Serge
TI - Paramétrix et propagation des singularités pour un problème de Cauchy à multiplicité variable
JO - Journées équations aux dérivées partielles
PY - 1975
PB - Ecole polytechnique
VL - 34-35
SP - 3
EP - 26
LA - fre
UR - http://eudml.org/doc/92955
ER -

References

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  1. [1] ALINHAC S. — Problèmes de Cauchy pour des opérateurs singuliers. Bulletin de la S.M.F., 102, 1974. Zbl0303.35021MR57 #17008
  2. [2] BAOUENDI M.S. et GOULAOUIC C. — Cauchy problèms with caracteristic initial hypersuface. Comm. on Pure and Applied Math. Zbl0256.35050
  3. [3] BEREZIN J.S. — On Cauchy's problem for linear equ. of the second order with initial cond. on a parabolic line. Mat. Sb. vol. 24, 1949. Zbl0037.06902
  4. [4] BERS L. — Mathematical aspects of Subsouic and transonic Gas Dynamics, John Wiley and Sons, New-York, 1958. Zbl0083.20501
  5. [5] BITSADZE A.V. — Equations of mixte type — Akad. Naud SSSR, 1959. 
  6. [6] GELLERSTEDT S. — Sur une équation linéaire aux dérivées partielles de type mixte, Arkiv. Mat. Astr. Fysik. Vol. 25A, 1937, n° 29. Zbl0016.21203JFM63.1056.03
  7. [7] HÖRMANDER L. — Fourier integral operators I, Acta Mathematica, 127, 1971. Zbl0212.46601MR52 #9299
  8. [8] HSIEH P.A et SIBUYA Y. — On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. Math.Anal. Appl. vol. 16, 1966. Zbl0161.05803MR34 #403
  9. [9] IVRY V — Dokladi Akad. Naud. SSSR vol. 197, 1971. 
  10. [10] IVRY V et PIETKOV V. — Uspehi Mat. Nauk. 29,5, (1974). 
  11. [11] LAX P.D — Duke Math. J. 24 n° 4, 1957. Zbl0083.31801MR20 #4096
  12. [12] LYNN R.Y.S et KELLER J.B. — Comm. on Pure and Applied Math. 23, 1970. Zbl0194.12202MR41 #5719
  13. [13] NERSESIAN A.B — On the Cauchy Problem for degenerating hyperbolic second order equations, Dokladi Akad. Nauk. SSSR, vol. 166, n° 6, 1966. Zbl0149.30702
  14. [14] OLÉINIK O.A. — Cauchy Problem for weakly hyperbolic equations, Comm. on Pure and Appl. Math., 23, n° 4, 1970. MR41 #8823
  15. [15] PROTTER M.H. — The Cauchy problem for hyperbolic second order equation with data on the parabolic line. Canadian J. of Math. vol. 6, 1954. Zbl0057.08101MR16,255d
  16. [16] SIBUYA Y. — Subdominant solutions of the differential equation y - λ²(x - a1) - (x - am) y = 0. Acta Math. vol. 119, 1967. Zbl0159.11601MR37 #529
  17. [17] TRICOMI F. — Sulle equazioni lineari allederivate partiali di 2è ordine di tipo misto, Att. Accad. Naz. Luicie vol. 14, 1923. JFM49.0346.01

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