- Titel
- Exponential Stability and Initial Value Problems for Evolutionary Equations
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa-236494
- Datum der Einreichung
- 03.04.2017
- Datum der Verteidigung
- 07.05.2018
- Abstract (EN)
- The thesis deals with so-called evolutionary equations, a class of abstract linear operator equations, which cover a huge class of partial differential equation with and without memory. We provide a unified Hilbert space framework for the well-posedness of such equations. Moreover, we inspect the exponential stability of those problems and construct spaces of admissible inital values and pre-histories, on which a strongly continuous semigroup could be associated with the given problem. The theoretical results are illustrated by several examples.
- Freie Schlagwörter (DE)
- Partielle Differentialgleichungen, Wohlgestelltheit, Exponentielle Stabilität, Anfangswerte und Vorgeschichten, Delay Gleichungen, Integro-Differentialgleichungen
- Freie Schlagwörter (EN)
- partial differential equations, well-posedness, exponential stability, initial values and pre-histories, delay equations, integro-differential equations
- Klassifikation (DDC)
- 510
- Klassifikation (RVK)
- SK 540
- GutachterIn
- Prof. Dr. Ralph Chill
- Den akademischen Grad verleihende / prüfende Institution
- Technische Universität Dresden, Dresden
- URN Qucosa
- urn:nbn:de:bsz:14-qucosa-236494
- Veröffentlichungsdatum Qucosa
- 31.05.2018
- Dokumenttyp
- Habilitation
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
