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The global existence problem

  • A. The Cauchy Problem
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Nonlinear Evolution Equations — Global Behavior of Solutions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 841))

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Bibliography for Chapter A-I, II

  1. J.B. Baillon, T. Cazenave, M. Figueira, Equation de Schrödinger nonlinéaire, C.R.A.S. Paris, 284 (1977), 86–872.

    MATH  Google Scholar 

  2. J.B. Raillon, T. Cazenave, M. Figueira, Equation de Schrödinger avec nonlinéarite intégrale, C.R.A.S. Paris, 284 (1977), 939–942.

    MATH  Google Scholar 

  3. H. Brézis, Operateurs maximaux monotones et Semi-groupes de contractions dans les Espaces de Hilbert, North Holland Publishing Co., Amsterdam, London, 1973.

    MATH  Google Scholar 

  4. T. Cazenave, Equations de Schrödinger nonlinéaires en dimension deux, to appear, Proc. Roy. Soc. of Edinburgh.

    Google Scholar 

  5. J.P. Dias, On the existence of a strong solution for a nonlinear evolution System, to appear, J. Nonlinear Analysis.

    Google Scholar 

  6. Dunford, Schwartz, Linear Operators, Interscience, 1966.

    Google Scholar 

  7. J. Ginibre-B. Velo, On a class of Non-Linear Schrödinger equations, J. Funct. Anal. 32 (1979), 1–71.

    Article  MathSciNet  MATH  Google Scholar 

  8. R. T. G lassey, On the blowing-up of Solutions to the Cauchy Problem for the Nonlinear Schrödinger Equation, to appear.

    Google Scholar 

  9. T. Kato, Quasi-linear equations of evolution, with applications to P.D.E., Lecture Notes in Math. 448, Springer-Verlag.

    Google Scholar 

  10. A. Pazy, Semi-groups of linear operators and applications to P.D.E., Lecture Notes, University of Maryland.

    Google Scholar 

  11. M. Reed-B. Simon, Methods of Modern Mathematical Physics (II), Acad. Press (1975).

    Google Scholar 

  12. I. Segal, Nonlinear Semi-Groups, Ann. of Math. 78 (1963), 339–364.

    Article  MathSciNet  MATH  Google Scholar 

  13. W. A. Strauss, The Nonlinear Schrödinger Equation, Contemporary Developments in Continuum Mechanics and P.D.E., La Penha and Medeiros, North Holland Pub. Co., 1978.

    Google Scholar 

  14. W. A. Strauss, Nonlinear Invariant Wave Equations, Lecture Notes in Physics, Ed. by G. Velo and A. Wightman, Springer-Verlag, 1978.

    Google Scholar 

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Authors
  1. Alain Haraux
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© 1981 Springer-Verlag

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Haraux, A. (1981). The global existence problem. In: Nonlinear Evolution Equations — Global Behavior of Solutions. Lecture Notes in Mathematics, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089608

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  • DOI: https://doi.org/10.1007/BFb0089608

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10563-3

  • Online ISBN: 978-3-540-38534-9

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