Proceedings of the American Mathematical Society

Author(s): Mark Lichtner
Journal: Proc. Amer. Math. Soc. 136 (2008), 2091-2101.
MSC (2000): Primary 47D03, 47D06, 34D09, 35P20; Secondary 37L10, 37D10
Posted: February 14, 2008
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47D03, 47D06, 34D09, 35P20, 37L10, 37D10

Mark Lichtner
Affiliation: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany
Email: lichtner@wias-berlin.de

DOI: 10.1090/S0002-9939-08-09181-8
PII: S 0002-9939(08)09181-8
Keywords: Linear hyperbolic systems, estimates for spectrum and resolvent, spectral mapping theorem, $C_0$ semigroups, exponential dichotomy, invariant manifolds
Received by editor(s): March 13, 2007
Posted: February 14, 2008
Additional Notes: This work has been supported by DFG Research Center {\sc{Matheon}}, \textquoteleft Mathematics for key technologies\textquoteright~ in Berlin.
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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