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Original Articles

On some topological view on the abstract cauchy–kowalewski problem

Pages 703-709 | Received 01 Apr 2004, Accepted 10 May 2004, Published online: 16 Aug 2006

References

References

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  • Nirenberg , L . 1972 . An abstract form of the nonlinear Cauchy-Kowalewski theorem . J. Differential Geometry , 6 : 561 – 576 .
  • Nirenberg L 1974 Topics in Nonlinear Functional Analysis, New York Univ New York
  • Nishida , T . 1977 . A note in a theorem of Nirenberg . J. Differential Geometry , 12 : 629 – 633 .
  • Ovsjannikov , L . 1965 . Singular operators in Banach scales . Dokl. Akad. Nauk., SSSR, Soviet Math. Dokl. , 163, 6 : 819, 1025 – 822, 1028 .
  • Safonov , M . 1995 . The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space . J. Commun. Pure Appl. Math. , 48 ( 6 ) : 629 – 637 .
  • Schwartz L 1967 Analyse Mathématique Hermann, Paris
  • Treves J 1968 Ovsjannikov theorem and hyperdiferential operators Notas Mat. 46 (mimeographed notes)
  • Yamanaka , T . 1960 . Note on Kowalevskaja's system of partial differential equations . Comment. Math. Univ. St. Paul. , 9 : 7 – 10 .

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