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- Publisher
- Springer Journals
- Copyright
- Copyright © 2014 by Springer Basel
- Subject
- Mathematics; Analysis; Mathematical Methods in Physics
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-014-0084-y
- Publisher site
- See Article on Publisher Site
Abstract
We study the asymptotic behavior of parabolic type semigroups acting on the unit disk as well as those acting on the right half-plane. We use the asymptotic behavior to investigate the local geometry of the semigroup trajectories near the boundary Denjoy–Wolff point. The geometric content includes, in particular, the asymptotes to trajectories, the so-called limit curvature, the order of contact, and so on. We then establish asymptotic rigidity properties for a broad class of semigroups of parabolic type.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: Jun 17, 2014