The Cauchy problem for degenerate parabolic equations in Gevrey classes
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 2, pp. 383-406. 
@article{ASNSP_1998_4_26_2_383_0,
     author = {Kajitani, Kunihiko and Mikami, Masahiro},
     title = {The {Cauchy} problem for degenerate parabolic equations in {Gevrey} classes},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {383--406},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {2},
     year = {1998},
     mrnumber = {1631601},
     zbl = {0920.35067},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_2_383_0/}
}
TY  - JOUR
AU  - Kajitani, Kunihiko
AU  - Mikami, Masahiro
TI  - The Cauchy problem for degenerate parabolic equations in Gevrey classes
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1998
SP  - 383
EP  - 406
VL  - 26
IS  - 2
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1998_4_26_2_383_0/
LA  - en
ID  - ASNSP_1998_4_26_2_383_0
ER  - 
%0 Journal Article
%A Kajitani, Kunihiko
%A Mikami, Masahiro
%T The Cauchy problem for degenerate parabolic equations in Gevrey classes
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1998
%P 383-406
%V 26
%N 2
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1998_4_26_2_383_0/
%G en
%F ASNSP_1998_4_26_2_383_0
Kajitani, Kunihiko; Mikami, Masahiro. The Cauchy problem for degenerate parabolic equations in Gevrey classes. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 2, pp. 383-406. http://www.numdam.org/item/ASNSP_1998_4_26_2_383_0/

[1] S. Gindikin - L.R. Volevich, "The Method of Newton's Polyhedron in the Theory of Partial Differential Equations", Kluwer Academic Publisher, Dordrecht-Boston-London 1992. | MR | Zbl

[2] K. Igari, Well-Posedness of the Cauchy problem for some evolution equations, Publ. Res. Inst. Math. Sci. 9 (1974), 613-629. | MR | Zbl

[3] K. Kajitani - T. Nishitani, "The Hyperbolic Cauchy Problem", Lecture Notes in Math. 1505, Springer-Verlag, Berlin, 1991. | MR | Zbl

[4] 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 | Zbl

[5] K. Kitagawa, Sur des conditions nécessaries pour les équations en évolution pour gue le problème de Cauchy soit bien posé dans les classes de fonctions C∞ I, J. Mat. Kyoto Univ. 30 (1990), 671-703. | Zbl

[6] K. Kitagawa, Sur des conditions nécessaries pour les équations en évolution pour gue le problème de Cauchy soit bien posé dans les classes de fonctions C∞II, J. Mat. Kyoto Univ. 31 (1991), 1-32. | Zbl

[7] L. Hörmander, "The Analysis of Linear Partial Differential Operators III", A Series of Comprehensive Studies in Math. 274, Springer-Verlag, Berlin, 1985. | MR | Zbl

[8] M. Mikami, The Cauchy problem for degenerate parabolic equations and Newton polygon, Funkcial. Ekvac. 39 (1996), 449-468. | MR | Zbl

[9] M. Miyake, Degenerate parabolic differential equations-Necessity of the wellposedness of the Cauchy problem, J. Math. Kyoto Univ. 14 (1974), 461-476. | MR | Zbl

[10] K. Shinkai, The symbol calculus for the fundamental solution of a degenerate parabolic system with applications, Osaka J. Math. 14 (1977), 55-84. | MR | Zbl