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A note on interpolation of semigroups


Author: V. Kéyantuo
Journal: Proc. Amer. Math. Soc. 123 (1995), 2123-2132
MSC: Primary 47D06; Secondary 46M35, 47D09, 47N20
DOI: https://doi.org/10.1090/S0002-9939-1995-1243170-6
MathSciNet review: 1243170
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Abstract: In this note, we extend the theory of interpolation of semigroups considered by Arendt (1991) and Arendt-Neubrander-Schlotterbeck (1992) to include the fractional order case. We then apply the results to the Schrödinger and wave equations on $ {L^p}(\Omega )$ where $ \Omega \subset {\mathbb{R}^N}$ is open with bounded Lebesgue measure.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1243170-6
Article copyright: © Copyright 1995 American Mathematical Society