Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609345 | Journal of Differential Equations | 2016 | 19 Pages |
Abstract
The famous Hartman–Grobman theorem for ordinary differential equations is extended to abstract semilinear hyperbolic evolution equations in Banach spaces by means of simple direct proof. It is also shown that the linearising map is Hölder continuous. Several applications to abstract and specific damped wave equations are given, to demonstrate the strength of our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marie-Luise Hein, Jan Prüss,