| |
Table des matières de ce fascicule | Article précédent | Article suivant
Hirosawa, Fumihiko
Global solvability for the degenerate Kirchhoff equation. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Sér. 4, 26 no. 1 (1998), p. 75-95
Texte intégral djvu | pdf | Analyses MR 1632988 | Zbl 0914.35085
URL stable: http://www.numdam.org/item?id=ASNSP_1998_4_26_1_75_0
[1] A. Arosio - S. Spagnolo, Global existence for abstract evolution equations of weakly hyperbolic type, J. Math. Pures Appl. 65 (1986), 263-305. MR 875159 | Zbl 0616.35049
[2] A. Arosio - S. Spagnolo, Global solution to the Cauchy problem for a nonlinear equation, Pitman Res. Notes Math.109 (1984), 1-26. MR 772234 | Zbl 0598.35062
[3] S. Bernstein, Sur une class d'équations fonctionnelles aux dérivées partielles, Izv. Akad. Nauk SSSR, Ser. Mat. 4 (1940), 17-26. MR 2699 | Zbl 0026.01901 | JFM 66.0471.01
[4] P. D'Ancona, Gevrey well posedness of an abstract Cauchy problem of weakly hyperbolic type, Publ. Res. Inst. Math. Sci, Kyoto Univ. 24 (1988), 433-449.
Article | MR 966182 | Zbl 0706.35077
[5] P. D'Ancona - S. Spagnolo, Global solvability for the degenerate Kirchhoff equation with real analytic data, Invent. Math. 108 (1992), 247-262. MR 1161092 | Zbl 0785.35067
[6] G.H. Hardy - J.E. Littlewood - G. Polya, " Inequalities", Cambridge UP, Cambridge, 1952. MR 46395 | Zbl 0047.05302
[7] F. Hirosawa, Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in Rn, Tsukuba J. Math. 21 (1997), 483-503. MR 1473934 | Zbl 0896.35073
[8] T. Kinoshita, On the wellposedness in the ultradifferentiable classes of the Cauchy ploblem for a weakly hyperbolic equation of second order, Tsukuba J. Math. (to appear). MR 1637629 | Zbl 0942.35104
[9] K. Kajitani - K. Yamaguti, On global real analytic solutions of the degenerate Kirchhoff equation, Ann. Scuola Norm. Sup. Pisa. Cl. Sci. (4) 21 (1994), 279-297.
Numdam | MR 1288368 | Zbl 0819.35099
[10] G. Krantz - H.R. Parks, " A Primer of Real Analytic Functions", Birkhäuser Verlag, Basel - Boston - Berlin, 1992. MR 1182792 | Zbl 0767.26001
[11] W. Matsumoto, Theory of pseudo-differential operators of ultradifferentiable class, J. Math. Kyoto Univ. 27 (1987), 453-500.
Article | MR 910230 | Zbl 0651.35088
[12] T. Nishida, A note on the nonlinear vibrations of the elastic string, Mem. Fac. Engrg. Kyoto Univ. 33 (1971), 329-34 1. MR 279387
[13] K. Nishihara, On a global solution of some quasilinear hyperbolic equation, Tokyo J. Math. 7 (1984), 437-459. MR 776949 | Zbl 0586.35059
[14] G. Perla, On classical solutions of a quasilinear hyperbolic equation, Nonlinear Anal. 3 (1979), 613-627. MR 541872 | Zbl 0419.35062
[15] O.A. Oleinik, On linear equations of second order with non-negative characteristic form, Mat. Sb. N.S. 69 (1966),111-140 (English translation: Transl. Amer. Mat. Soc. 65,167-199). MR 193383
[16] S.I. Pohozaev, On a class ofquasilinear hyperbolic equations, Math. USSR-Sb. 96 (1975), 152-166. MR 369938 | Zbl 0328.35060
[17] K. Yamaguti, On global quasi-analytic solution of the degenerate Kirchhoff equation, Tsukuba J. Math. (to appear). MR 1603843 | Zbl 1028.35090
|
|
Copyright Cellule MathDoc 2013 | Crédit | Plan du site
|
