Share

# Semigroups associated with dissipative systems

• ·

Written in English

### Subjects:

• Mechanics, Analytic.,
• Semigroups.

## Book details:

Edition Notes

Includes bibliographical references (p. 191-203) and index.

Classifications The Physical Object Statement Zhuangyi Liu, Songmu Zheng. Series Chapman & Hall/CRC research notes in mathematics series ;, 398 Contributions Zheng, Songmu. LC Classifications QA808 .L53 1999 Pagination 206 p. ; Number of Pages 206 Open Library OL388271M ISBN 10 0849306159 LC Control Number 98051412

Semigroups associated with dissipative Systems CHAPMAN & HALL/CRC Boca Raton London New York Washington, D.C. Some Definitions 1 Co-semigroup Generated by Dissipative Operator 2 Exponential Stability and Analyticity 4 The Sobolev Spaces and Elliptic Boundary Value Problems 8 Chapter 6 Linear Elastic Systems with Boundary.   A.F. Pazoto, J.C. Vila Bravo, J.E. Muñoz Rivera, Asymptotic stability of semigroups associated to linear weak dissipative systems, Math. Comput. Modelling 40 (3–4) () – [3] B.-Z. Guo, On the exponential stability of C 0 -semigroups on Banach spaces with compact perturbations, Semigroup Forum 59 (2) () – [4] B. Asymptotic stability of semigroups associated with linear weak dissipative systems with memory.   In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit. Consider an arbitrary complete separable metric space X which is acted on by any continuous semigroup {S(t)} t ≥ 0. Suppose that {S(t)} t ≥ 0 possesses a global attractor $${\mathcal{A}}$$.