Abstract and Applied Analysis

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

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 275494, 37 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393449740

Digital Object Identifier
doi:10.1155/2013/275494

Mathematical Reviews number (MathSciNet)
MR3139482

Zentralblatt MATH identifier
1310.47058

Citation

Favaron, Alberto; Favini, Angelo. On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 275494, 37 pages. doi:10.1155/2013/275494. https://projecteuclid.org/euclid.aaa/1393449740

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