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An interpolation method to characterize domains of generators of semigroups

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Abstract

We describe a method for characterizing the domains of generators of semigroups enjoying suitable smoothing properties. Among the applications, such a method allows to prove new Schauder type theorems for elliptic equations in ℝn and for parabolic equations in [0,T] x ℝn.

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Authors and Affiliations

  1. Dipartimento di Matematica, Via D'Azeglio 85/A, 43100, Parma, Italy

    Alessandra Lunardi

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  1. Alessandra Lunardi
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Communicated by R. Nagel

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Lunardi, A. An interpolation method to characterize domains of generators of semigroups. Semigroup Forum 53, 321–329 (1996). https://doi.org/10.1007/BF02574147

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  • DOI: https://doi.org/10.1007/BF02574147

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