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Differentiability with respect to (t, s) of the parabolic evolution operator

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Abstract

We give further regularity results with respect to (t, s) for the evolution operatorG(t, s) of abstract parabolic initial value problems in general Banach space. Such results are then used to establish a representation formula for the solutions of parabolic initial-boundary value problems with nonvanishing data at the boundary.

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  1. Dipartimento di Matematica, Via Ospedale 72, 09124, Cagliari, Italy

    Alessandra Lunardi

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  1. Alessandra Lunardi
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Lunardi, A. Differentiability with respect to (t, s) of the parabolic evolution operator. Israel J. Math. 68, 161–184 (1989). https://doi.org/10.1007/BF02772659

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  • DOI: https://doi.org/10.1007/BF02772659

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