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Linearized stability for nonlinear semigroups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1223)

Keywords

  • Spectral Radius
  • Nonlinear Operator
  • Lipschitz Constant
  • Transversality Property
  • Semi Group

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References

  1. Amann, H.: Gewöhnliche Differentialgleichungen, De Gruyter, Berlin-New York 1983.

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  2. Brezis, H.: Operateurs maximaux monotones et semigroups de contractions dans les espaces de Hilbert, North Holland 1973.

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  3. Crandall, M., P. Rabinowitz: Mathematical theory of bifurcation in "Bifurcation Phenomena in Mathematical Physics", C. Bardos, D. Bessis, eds., NSI, 1980, 3–46.

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  4. Hale, J., L. Magalhaes, W. Oliva: An introduction to infinite dimensional dynamical systems-Geometric theory, Applied Math. Sciences, 47, Springer 1984.

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  5. Henry, D.: Geometric theory of semilinear parabolic equations, Springer Lecture Notes 840, 1981.

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  6. Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Applied Math. Sciences 44, Springer 1983.

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  7. Schappacher, W.: Asymptotic behavior of linear semigroups, Quaderni Bari, 1983.

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  8. Webb, G.F.: Theory of age-dependent population dynamics, to appear 1985.

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© 1986 Springer-Verlag

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Desch, W., Schappacher, W. (1986). Linearized stability for nonlinear semigroups. In: Favini, A., Obrecht, E. (eds) Differential Equations in Banach Spaces. Lecture Notes in Mathematics, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099183

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  • DOI: https://doi.org/10.1007/BFb0099183

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17191-1

  • Online ISBN: 978-3-540-47350-3

  • eBook Packages: Springer Book Archive