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Integrable Systems and Applications pp 154–191Cite as

Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system

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Part of the book series: Lecture Notes in Physics ((LNP,volume 342))

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References

  1. V.Arnold, “Mathematical Methods of Classical Mechanics”, Springr-Verlag, 2nd ed., 1980.

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  2. M. Grillakis, J. Shatah, W. Strauss, “Stabiity Theory of Solitary Waves in the Presence of Symmetry, I”, J. of Fund. Anal., Vol. 74, 1987, pp. 160–197.

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  3. M.Grillakis, “Linearized Instability for Nonlinear Schrödinger and Krein-Gordon Equations”, to appear in CPAM.

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  4. C. Jones, “An Instability Mechanism for Radially Symmetric Standing Waves of a Nonlinear Schrödinger Equation”, to appear in JDE.

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  5. M. Reed, B. Simon, “Methods of Modern Mathematical Physics”, Vol. IV, Academic Press, 1978.

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  6. M. Krein, “Topics in Differential and Integral Equations and Operator Theory”, OT7 Birkäuser, 1983, pp. 1–98.

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  7. W. Magnus, S. Winkler, “Hill's Equation”, Dover, 1979.

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  8. A. Weinstein, “Nonlinear Stabilization of Quasi-Modes”, Proc. of Symp. in Pure Math. Vol. 36 1980.

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  9. C. Jones and T. Küpper, “On the infinitely many Solutions of a Semilinear Elliptic Equation”, SIAM J. Math. Anal. Vol. 17, No. 4, July 1986.

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Authors
  1. Manoussos Grillakis
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M. Balabane P. Lochak C. Sulem

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© 1979 Springer-Verlag

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Grillakis, M. (1979). Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system. In: Balabane, M., Lochak, P., Sulem, C. (eds) Integrable Systems and Applications. Lecture Notes in Physics, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035670

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  • DOI: https://doi.org/10.1007/BFb0035670

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51615-6

  • Online ISBN: 978-3-540-46714-4

  • eBook Packages: Springer Book Archive

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