Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo

Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo

We provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0. The behaviour of the singular semigroup generated by A with respect t...

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Main Author: Angelo Favini
Format: Article
Language:English
Published: University of Bologna 2011-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2667
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spelling doaj-578db31f27734865ade99c5c150ae6be2020-11-24T23:20:26ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292011-12-01212480Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controlloAngelo Favini0Università di BolognaWe provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0. The behaviour of the singular semigroup generated by A with respect to the domains of the fractional powers is then studied. Such results are applied to maximal time and space regularity for solutions to abstract multivalued evolution equations. Some concrete cases of partial differential equations enlighten the abstract results.http://mathematicalanalysis.unibo.it/article/view/2667
collection DOAJ
language English
format Article
sources DOAJ
author Angelo Favini
spellingShingle Angelo Favini
Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
Bruno Pini Mathematical Analysis Seminar
author_facet Angelo Favini
author_sort Angelo Favini
title Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
title_short Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
title_full Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
title_fullStr Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
title_full_unstemmed Famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
title_sort famiglie s-involutive di campi vettoriali, orbite associate e distanze di controllo
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2011-12-01
description We provide intermediate properties for the domains of the fractional powers of an abstract multivalued linear operator A of weak parabolic type. In particular, the results exhibit the special role played by the linear subspace A0. The behaviour of the singular semigroup generated by A with respect to the domains of the fractional powers is then studied. Such results are applied to maximal time and space regularity for solutions to abstract multivalued evolution equations. Some concrete cases of partial differential equations enlighten the abstract results.
url http://mathematicalanalysis.unibo.it/article/view/2667
work_keys_str_mv AT angelofavini famigliesinvolutivedicampivettorialiorbiteassociateedistanzedicontrollo
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