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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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Spectral mapping theorem for linear hyperbolic systems
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by Mark Lichtner PDF
Proc. Amer. Math. Soc. 136 (2008), 2091-2101 Request permission

Abstract:

We show high frequency resolvent and spectral estimates and prove the spectral mapping theorem for linear hyperbolic systems in one space dimension.
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Additional Information
  • Mark Lichtner
  • Affiliation: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany
  • Email: lichtner@wias-berlin.de
  • Received by editor(s): March 13, 2007
  • Published electronically: February 14, 2008
  • Additional Notes: This work has been supported by DFG Research Center Matheon, ‘Mathematics for key technologies’  in Berlin.
  • Communicated by: Carmen C. Chicone
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2091-2101
  • MSC (2000): Primary 47D03, 47D06, 34D09, 35P20; Secondary 37L10, 37D10
  • DOI: https://doi.org/10.1090/S0002-9939-08-09181-8
  • MathSciNet review: 2383515