Abstract
Let X be a Banach space and let A be the infinitesimal generator of a C 0 semigroup T(t) on X, satisfying || T(t)|| ≤ Mewt. If B is a bounded linear operator on X then A + B is the infinitesimal generator of a C0semigroup S(t) on X, satisfying ||S(t)|| ≤ Me(w + M || B ||)t.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Pazy, A. (1983). Perturbations and Approximations. In: Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, vol 44. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5561-1_3
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5561-1_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5563-5
Online ISBN: 978-1-4612-5561-1
eBook Packages: Springer Book Archive