On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/275494 |
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| _version_ | 1850216610067906560 |
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| author | Alberto Favaron Angelo Favini |
| author_facet | Alberto Favaron Angelo Favini |
| author_sort | Alberto Favaron |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3625dd5ff1fc4e07a06a15436403ed9d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3625dd5ff1fc4e07a06a15436403ed9d2025-08-20T02:08:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/275494275494On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution EquationsAlberto Favaron0Angelo Favini1Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, ItalyDipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, ItalyFor 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.http://dx.doi.org/10.1155/2013/275494 |
| spellingShingle | Alberto Favaron Angelo Favini 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 |
| title | On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations |
| title_full | On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations |
| title_fullStr | On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations |
| title_full_unstemmed | On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations |
| title_short | On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations |
| title_sort | on the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro differential evolution equations |
| url | http://dx.doi.org/10.1155/2013/275494 |
| work_keys_str_mv | AT albertofavaron onthebehaviourofsingularsemigroupsinintermediateandinterpolationspacesanditsapplicationstomaximalregularityfordegenerateintegrodifferentialevolutionequations AT angelofavini onthebehaviourofsingularsemigroupsinintermediateandinterpolationspacesanditsapplicationstomaximalregularityfordegenerateintegrodifferentialevolutionequations |