Floquet theory for a class of periodic evolution equations in an Lp-setting
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(Sprache: Englisch)
In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X. We impose a suitable condition on the operator...
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In this work we explore the Floquet theory for evolution equations of the form u'(t)+A_t u(t)=0 (t real) where the operators A_t periodically depend on t and the function u takes values in a UMD Banach space X. We impose a suitable condition on the operator family (A_t) and their common domain, in particular a decay condition for certain resolvents, to obtain the central result that all exponentially bounded solutions can be described as a superposition of a fixed family of Floquet solutions.
Bibliographische Angaben
- Autor: Thomas Gauss
- 2010, III, 130 Seiten, Maße: 14,8 x 21 cm, Kartoniert (TB), Englisch
- Verlag: KIT Scientific Publishing
- ISBN-10: 3866445423
- ISBN-13: 9783866445420
- Erscheinungsdatum: 07.12.2010
Sprache:
Englisch
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