For these semigroups, which may have power type singuraties and whose generatorsare abstract jmultivalued linear operators, we characterize the behaviour with respect to a certain setof intermediate and interpolation spaces.The obtained results are then applied to provide maximal time regularity for the solutions to a wide classof degenerate integro-and non integro-differential evolution equations in Banach spaces.
On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations / Favaron A; Favini A. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - ELETTRONICO. - 2013:(2013), pp. ID 275494.1-ID 275494.37. [10.1155/2013/275494]
On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations
FAVINI, ANGELO
2013
Abstract
For these semigroups, which may have power type singuraties and whose generatorsare abstract jmultivalued linear operators, we characterize the behaviour with respect to a certain setof intermediate and interpolation spaces.The obtained results are then applied to provide maximal time regularity for the solutions to a wide classof degenerate integro-and non integro-differential evolution equations in Banach spaces.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
