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

 Access to full text

 Full (PDF)

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

1. Cesare Parenti, Propagation des singularités $C^{\infty }$ pour des opérateurs fuchsiens