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On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations

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  • Alberto Favaron
  • Angelo Favini

Abstract

For those semigroups, which may have power type singularities and whose generators are abstract multivalued linear operators, we characterize the behaviour with respect to a certain set of intermediate and interpolation spaces. The obtained results are then applied to provide maximal time regularity for the solutions to a wide class of degenerate integro- and non-integro-differential evolution equations in Banach spaces.

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  • Alberto Favaron & Angelo Favini, 2013. "On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-37, December.
    • Handle: RePEc:hin:jnlaaa:275494
    DOI: 10.1155/2013/275494
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    Cited by:

    1. Mohammed Al Horani & Mauro Fabrizio & Angelo Favini & Hiroki Tanabe, 2020. "Inverse Problems for Degenerate Fractional Integro-Differential Equations," Mathematics, MDPI, vol. 8(4), pages 1-11, April.

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