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

Alberto Favaron and Angelo Favini

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/275494

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:275494

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