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Abstract differential equations and extrapolation spaces

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Infinite-Dimensional Systems

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

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References

  1. Da Prato, G.: Some Results on Linear Stochastic Evolution Equations in Hilbert Spaces by the Semi-Group Methods, Stochastic Analysis and Applications 1 (1983), 57–88.

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  2. Da Prato, G., P. Grisvard: Sommes d'opérateurs linéaires et équations differentielles opérationelles, J. Math. Pures Appl. 54 (1975), 305–387.

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  3. Da Prato, G., P. Grisvard: Equations d'évolution abstraites nonlinéaires de type parabolique, Ann. Mat. Pure Appl. (4) 120 (1979), 329–396.

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  4. Da Prato, G., P. Grisvard: Maximal Regularity for evolution equations by interpolation and extrapolation, J. Functional Analysis, (to appear).

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  5. Kato, T.: Abstract Evolution Equations of Parabolic type in Banach and Hilbert spaces, Nagoya Math. J. 19 (1961), 93–125.

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  6. Lions, J.L., J. Peetre: Sur une classe d'espaces d'interpolation, Inst. Hautes Etudes Sc.Publ. Math. 19 (1965), 5–68.

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  7. Sobolevskii, P.E.: On Equations of Parabolic type in Banach spaces, Trudy Moscow Mat. Obsc. 10 (1961), 297–350.

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Authors and Affiliations

  1. Scuola Normale Superiore di Pisa, Piazza Dei Cavalieri 7, I-56100, Pisa, Italy

    G. Da Prato

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  1. G. Da Prato
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Franz Kappel Wilhelm Schappacher

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© 1984 Springer-Verlag

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Da Prato, G. (1984). Abstract differential equations and extrapolation spaces. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072765

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  • DOI: https://doi.org/10.1007/BFb0072765

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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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