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Abstract: We present a new and simple bound for the exponential decay of second order systems using the spectral shift. This result is applied to finite matrices as well as to partial differential equations of Mathematical Physics. The type of the generated semigroup is shown to be bounded by the upper real part of the numerical range of the underlying quadratic operator pencil. (Update)
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BibTeX entry: (Update)
@misc{ veselic-energy,
author = "Kresimir Veseli\'c",
title = "Energy Decay of Damped Systems",
url = "citeseer.ist.psu.edu/694760.html" }
Citations (may not include all citations):584 Perturbation Theory for Linear Operators (context) - Kato - 1966
7 The rate at which energy decays in a damped string (context) - Cox, Zuazua - 1994
4 A minimax principle for nonoverdamped systems (context) - Barston - 1974
1 CRC Press Boca Raton (context) - Chen, Zhou et al. - 1993
1 Exponential stability of semigroups connected with some oper.. (context) - Hryniv, Shkalikov - 2003
1 Exponential decay of 2 2 operator matrix semigroups (context) - Batkai, Engel
1 Some results on numerical ranges and factorizations of matri.. (context) - Markus, Rodman - 1997
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