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Semilinear evolution equations in Fréchet spaces

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Differential Equations in Banach Spaces

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

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References

  1. J. B. Cooper, Saks Spaces and Applications to Functional Analysis, Mathematics Studies 28, North-Holland, 1978.

    Google Scholar 

  2. M. Crandall, A. Pazy and L. Tartar, Remarks on generators of analytic semigroups, Israel J. Math., 32 (4) (1979), 365–374.

    Article  MathSciNet  MATH  Google Scholar 

  3. D. H. Fremlin, Topological Riesz Spaces and Measure Theory, Cambridge University Press, 1974.

    Google Scholar 

  4. H. G. Garnir, M. De Wilde and J. Schmets, Analyse Fonctionnelle, T. II, Measure et intégration dans l'espace euclidien, Birkhäuser Verlag, Basel, 1972.

    MATH  Google Scholar 

  5. K. Hashimoto and S. Oharu, Integration in Fréchet lattices with applications to operator semigroups, to appear.

    Google Scholar 

  6. K. Hashimoto, T. Kusano and S. Oharu, Semilinear evolution equations in Fréchet lattices, to appear.

    Google Scholar 

  7. N. Kawano and T. Kusano, On positive entire solutions of a class of second order semilinear elliptic systems, Math. Z., 186 (1984), 287–297.

    Article  MathSciNet  MATH  Google Scholar 

  8. T. Kusano and S. Oharu, Semilinear evolution equations in Fréchet lattices with applications to parabolic systems, to appear.

    Google Scholar 

  9. T. Kusano and S. Oharu, Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem, Indiana Univ. Math. J., 34 (1985), 85–95.

    Article  MathSciNet  MATH  Google Scholar 

  10. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences 44, Springer-Verlag, 1983.

    Google Scholar 

  11. T. Takahashi and S. Oharu, Approximation of operator semigroups in a Banach space, Tôhoku Math. J., 24 (4) (1972), 505–528.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Yosida, Functional Analysis (6th edition), Springer-Verlag, New York, 1980.

    Book  MATH  Google Scholar 

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Angelo Favini Enrico Obrecht

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© 1986 Springer-Verlag

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Oharu, S. (1986). Semilinear evolution equations in Fréchet spaces. 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/BFb0099193

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  • DOI: https://doi.org/10.1007/BFb0099193

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17191-1

  • Online ISBN: 978-3-540-47350-3

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