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Le théorème de Nishida pour le problème de Cauchy abstrait par une méthode de point fixe

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Equations aux Dérivées Partielles

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 660))

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Bibliographie

  1. M.S. Baouendi and C. Goulaouic, Remarks on the abstract form of nonlinear Cauchy-Kovalewsky theorems, to appear in Comm. in P.D.E. 1977.

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  2. M.S. Baouendi and C. Goulaouic, Pseudodifferential nonlinear Cauchy problems and applications. To appear.

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  3. Nagumo, Uber das Aufangsproblem Partieller Differentialgleichungen, Japan J. Math. 18 (1941) 41–47.

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  4. T. Nishida, A note on the Nirenberg's theorem as an abstract form of the nonlinear Cauchy-Kovalewsky theorem in a scale of Banach spaces. To appear in J. Diff. Geometry.

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  5. L. Nirenberg, An abstract form of the nonlinear Cauchy-Kovalewski theorem, J. Diff. Geometry 6 (1972) 4 p.561–576.

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  6. L.V. Ovsjannikov, A nonlinear Cauchy problem in a scale of Banach spaces Dok. Akad. Nauk. SSSR 200 (1971) 4. Sov. Math. Dok. 12 (1971) 5 p.1497–1502.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Purdue University, 47907, West Lafayette, IN, U.S.A.

    M. S. Baouendi

  2. Centre de Mathématiques de l'Ecole Polytechnique, Plateau de Palaiseau, 91128, Palaiseau Cedex, France

    C. Goulaouic

Authors
  1. M. S. Baouendi
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  2. C. Goulaouic
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Pham The Lai

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© 1978 Springer-Verlag

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Baouendi, M.S., Goulaouic, C. (1978). Le théorème de Nishida pour le problème de Cauchy abstrait par une méthode de point fixe. In: Pham The Lai (eds) Equations aux Dérivées Partielles. Lecture Notes in Mathematics, vol 660. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082289

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  • DOI: https://doi.org/10.1007/BFb0082289

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08913-1

  • Online ISBN: 978-3-540-35764-3

  • eBook Packages: Springer Book Archive

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