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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on interpolation of semigroups
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by V. Kéyantuo PDF
Proc. Amer. Math. Soc. 123 (1995), 2123-2132 Request permission

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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Additional Information
  • © Copyright 1995 American Mathematical Society
  • 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