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

Gauss, Thomas

KIT Scientific Publishing

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UID:

edoccha_9959145907902883

Umfang: 1 electronic resource (IV, 130 p. p.)

ISBN: 1000019300

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

Weitere Ausg.: ISBN 3-86644-542-3

Sprache: Englisch

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