Perturbations and Approximations

Part of the Applied Mathematical Sciences book series (AMS, volume 44)

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)|| ≤ Me wt . 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.

Keywords

Larg 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

  • A. Pazy
    • 1
  1. 1.Planning and Budgeting CommitteeCouncil for Higher EducationJerusalemIsrael

Personalised recommendations