@article{ASNSP_1994_4_21_2_279_0, author = {Kajitani, Kunihiko and Yamaguti, Kaoru}, title = {On global real analytic solutions of the degenerate {Kirchhoff} equation}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {279--297}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 21}, number = {2}, year = {1994}, zbl = {0819.35099}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1994_4_21_2_279_0/} }
TY - JOUR AU - Kajitani, Kunihiko AU - Yamaguti, Kaoru TI - On global real analytic solutions of the degenerate Kirchhoff equation JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1994 SP - 279 EP - 297 VL - 21 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1994_4_21_2_279_0/ LA - en ID - ASNSP_1994_4_21_2_279_0 ER -
%0 Journal Article %A Kajitani, Kunihiko %A Yamaguti, Kaoru %T On global real analytic solutions of the degenerate Kirchhoff equation %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1994 %P 279-297 %V 21 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1994_4_21_2_279_0/ %G en %F ASNSP_1994_4_21_2_279_0
Kajitani, Kunihiko; Yamaguti, Kaoru. On global real analytic solutions of the degenerate Kirchhoff equation. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 21 (1994) no. 2, pp. 279-297. http://www.numdam.org/item/ASNSP_1994_4_21_2_279_0/
[1] Global solution of the Cauchy problem for a nonlinear hyperbolic equation, Pitman Reseach Notes in Math. 109 (1984), 1-26. | MR | Zbl
- ,[2] Sur une classe d'équations fonctionnelles aux dérivées partielles. Izv. Akad. Nauk SSSR, Ser. Mat. 4 (1940), 17-26. | JFM | MR | Zbl
,[3] Global solvability for the degenerate Kirchhoff equation with real analytic data. Invent. Math. 108 (1992), 247-246. | MR | Zbl
- ,[4] On positivity of pseudo-differential operators. Proc. Nat. Acad. Sci. USA 75 (1978), 4677-4674. | MR | Zbl
- ,[5] Global real analytic solution of the Cauchy problem for linear differential equations. Comm. P.D.E. 11 (1984), 1489-1513. | MR | Zbl
,[6] Pseudo-differential operators. MIT Press, Boston, 1981. | Zbl
,[7] Le problème de Cauchy pour les systèmes hyperboliques et paraboliqes. Memoirs of College of Sciences University of Kyoto 32 (1959), 181-212. | MR | Zbl
,[8] Non linear vibration of an elastic string II. Preprint (1971).
,[9] On a global solution of some quasilinear hyperbolic equations. Tokyo J. Math. 7 (1984), 437-459. | MR | Zbl
,[10] On a class of quasilinear hyperbolic equations. Math. USSR-Sb. 96 (1975), 152-166. | MR | Zbl
,