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Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting (2010)

Gauss, Thomas [VerfasserIn]

[Erscheinungsort nicht ermittelbar] : KIT Scientific Publishing

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Details

UID:

gbv_1778729487

Umfang: 1 Online-Ressource (IV, 130 p.)

ISBN: 9783866445420

Inhalt: 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

Anmerkung: English

Sprache: Englisch

URL: kostenfrei

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