(a, k)-Regularized C-Resolvent Families: Regularity and Local Properties

We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles. We apply our results in the study of the backwa...

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Published inAbstract and Applied Analysis Vol. 2009; no. 1; pp. 1055 - 1081
Main Author Kostic, Marko
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2009
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Banach spaces
Theorems
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ISSN1085-3375
1687-0409
DOI10.1155/2009/858242

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Summary:We introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles. We apply our results in the study of the backwards fractional diffusion-wave equation and provide several illustrative examples of differentiable (a,k)-regularized C-resolvent families.
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ISSN:1085-3375
1687-0409
DOI:10.1155/2009/858242