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

Alberto Favaron | Zendy; Angelo Favini | Zendy

Open Access

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

Author(s) -

Alberto Favaron,

Angelo Favini

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/275494

Subject(s) - mathematics , banach space , degenerate energy levels , gravitational singularity , class (philosophy) , interpolation (computer graphics) , pure mathematics , mathematical analysis , type (biology) , set (abstract data type) , ecology , physics , quantum mechanics , artificial intelligence , computer science , biology , animation , computer graphics (images) , programming language

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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