An abstract form of the nonlinear Cauchy-Kowalewski theorem

Journal of Differential Geometry

Volumn 6, Issue 4, 1972, Pages 561-576

  Nirenberg, L ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972536320     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214430643     Document Type: Article

References (9)

1. P. Duchateau & J. F. Treves, An abstract Cauchy-Kowalevska theorem in scales of Gevrey classes, Symposia Math., Vol. 7, Academic Press, New York, 1971, 135-163.
2. I. M. Gelfand & G. E. Silov, Generalized functions. Vol. 3: Theory of differential equations, Academic Press, New York, 1967.
3. J. Moser, A rapidly convergent iteration method and nonlinear partial differential equations. I, Ann. Scuola Norm. Sup. Pisa (3) 20 (1966) 265-315.
4. M. Nagumo, Über das Anfangswertproblem Partieller Differentialgleichungen, Japan. J. Math. 18 (1941) 41-47.
5. L. V. Ovsjannikov, Singular operators in Banach scales, Dokl. Akad. Nauk. SSSR 163 (1965) 819-822
6. L. V. Ovsjannikov, Singular operators in Banach scales, Soviet Math. Dokl. 6 (1965) 1025-1028.
7. J. F. Trèves, Ovsjannikov theorem and hyper differential operators, Notas Mat. 46 (1968), Mimeographed notes.
8. J. F. Trèves, An abstract nonlinear Cauchy-Kovalev ska theorem, Trans. Amer. Math. Soc. 150 (1970) 77-92.
9. T. Yamanaka, Note on Kowalevskaja's system of partial differential equations, Comment. Math. Univ. St. Paul. 9 (1960) 7-10.