Energy Decay of Damped Systems

Details Energy Decay of Damped Systems Energy Decay of Damped Systems

2003-12-19

arxiv.org/abs/math/0312376v1

Mathematics

Spectral Theory

Submitted for publication 2003

Scientific paper

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.

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