Bounds for contractive semigroups and second order systems
Dynamical Systems
2007-05-23 v1 Functional Analysis
Abstract
We derive a uniform bound for the difference of two contractive semigroups, if the difference of their generators is form-bounded by the Hermitian parts of the generators themselves. We construct a semigroup dynamics for second order systems with fairly general operator coefficients and apply our bound to the perturbation of the damping term. The result is illustrated on a dissipative wave equation. As a consequence the exponential decay of some second order systems is proved.
Cite
@article{arxiv.math/0404120,
title = {Bounds for contractive semigroups and second order systems},
author = {Kresimir Veselic},
journal= {arXiv preprint arXiv:math/0404120},
year = {2007}
}