Resolvent Estimates and Quantification of Nonlinear Stability

Authors
Kreis, Heinz-Otto Lorenz, Jens
Citation
Kreis, Heinz-otto et Lorenz, Jens, Resolvent Estimates and Quantification of Nonlinear Stability, Acta mathematica Sinica. English series (Print) , 16(1), 2000, pp. 1-20
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
1
Year of publication
2000
Pages
1 - 20
Database
ACNP
SICI code
Abstract
The aim of this paper is to clarify the role played by resolvent estimates for nonlinear stability. We will give examples showing that a large resolvent may lead to a small domain of nonlinear stability. In other examples the resolvent is large, but the domain of nonlinear stability is completely unrestricted. Which case prevails depends on the details of the problem.