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Maximal time regularity for degenerate evolution integro-differential equations

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Abstract

We provide maximal time regularity properties for the solutions to a class of degenerate first-order integro-differential Cauchy problems in a Banach space X. In particular, we show that an additional condition of space regularity on the data it suffices for restoring the loss of time regularity which arises naturally when dealing with the degenerate case.

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Authors and Affiliations

  1. Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, via Bonardi 9, 20133, Milano, Italy

    Alberto Favaron

  2. Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta San Donato 5, 40127, Bologna, Italy

    Angelo Favini

Authors
  1. Alberto Favaron
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  2. Angelo Favini
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Correspondence to Alberto Favaron.

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Favaron, A., Favini, A. Maximal time regularity for degenerate evolution integro-differential equations. J. Evol. Equ. 10, 377–412 (2010). https://doi.org/10.1007/s00028-010-0053-3

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