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The Shadowing Lemma for Elliptic PDE

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Dynamics of Infinite Dimensional Systems

Part of the book series: NATO ASI Series ((NATO ASI F,volume 37))

Abstract

The purpose of this note is to show how certain ideas from dynamical systems theory can be generalised to nonlinear elliptic PDE.

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References

  1. BERESTYCKI H., LIONS P. & L.A. PELETIER, An ODE approach to the existence of positive solutions for semilinear problems in Rn, Indiana Math. Journ. 30 141–157 (1981)

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  4. PELETIER L.A. & J. SERRIN, Uniqueness of positive solutions of semilinear equations in Rn, Arch. Rat. Mech. Anal. 81 181–197 (1983)

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  5. WEINSTEIN A., Bifurcations and Hamilton’s principle, Math Zeitschrift 159 235–248 (1978).

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Author information

Author notes

  1. Sigurd Angenent

    Present address: Dept. of Math., California Institute of Technology, Pasadena, California, USA

Authors and Affiliations

  1. Math. Dept. of the University of Leiden, The Netherlands

    Sigurd Angenent

Authors
  1. Sigurd Angenent
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Michigan State University, 48824-1027, East Lansing, MI, USA

    Shui-Nee Chow

  2. Division of Applied Mathematics, Brown University, 02912, Providence, RI, USA

    Jack K. Hale

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© 1987 Springer-Verlag Berlin Heidelberg

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Angenent, S. (1987). The Shadowing Lemma for Elliptic PDE. In: Chow, SN., Hale, J.K. (eds) Dynamics of Infinite Dimensional Systems. NATO ASI Series, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86458-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-86458-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86460-5

  • Online ISBN: 978-3-642-86458-2

  • eBook Packages: Springer Book Archive

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