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Nonautonomous Exponential Dichotomy

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Abstract.

In this note we generalize the strongly continuous bisemigroups generated by exponentially dichotomous operators to so-called bievolution families. These families are then related to strongly continuous bisemigroups on certain Banach spaces of continuous and measurable vector-valued functions.

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Authors and Affiliations

  1. Dip. Matematica e Informatica, Università di Cagliari, Viale Merello 92, I-09123, Cagliari, Italy

    Cornelis van der Mee

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  1. Cornelis van der Mee
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Correspondence to Cornelis van der Mee.

Additional information

The research leading to this note was supported by the Italian Ministry of Education and Research (MIUR) under PRIN grant no. 2006017542-003, and by INdAM-GNCS.

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van der Mee, C. Nonautonomous Exponential Dichotomy. Integr. equ. oper. theory 59, 591–596 (2007). https://doi.org/10.1007/s00020-007-1535-8

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  • DOI: https://doi.org/10.1007/s00020-007-1535-8

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