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On the differentiability of nonlinear semigroups

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Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1076))

Partially supported by the National Science Foundation and by the USC Faculty Research and Innovation Fund.

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References

  1. Kobayashi, Y.: Difference approximation of evolution equations and generation of nonlinear semigroups, Proc. Japan Acad. 51 (1975), 406–410.

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  2. Miyadera, I.: On the infinitesimal generators and the asymptotic behavior of nonlinear contraction semigroups, Proc. Japan Acad. 58 (1982), 1–4.

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  3. Plant, A.T.: The differentiability of nonlinear semigroups in uniformly convex spaces, Israel J. Math. 38 (1981), 257–268.

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  4. Plant, A.T.: Personal communication, 1983.

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  5. Plant, A.T., S. Reich: The asymptotics of nonexpansive iterations, J. Functional Analysis 54 (1983), 308–319.

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  6. Reich, S.: On the asymptotic behavior of nonlinear semigroups and the range of accretive operators II, MRC Report No. 2198, 1981; J. Math. Anal. Appl. 87 (1982), 134–146.

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Authors and Affiliations

  1. Department of Mathematics, The University of Southern California, 90089, Los Angeles, California, USA

    S. Reich

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  1. S. Reich
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Franz Kappel Wilhelm Schappacher

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© 1984 Springer-Verlag

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Reich, S. (1984). On the differentiability of nonlinear semigroups. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072777

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  • DOI: https://doi.org/10.1007/BFb0072777

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13376-6

  • Online ISBN: 978-3-540-38932-3

  • eBook Packages: Springer Book Archive

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