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Spectral mapping theorem for linear hyperbolic systems
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
MathSciNet review:
2383515
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Additional information
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
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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