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Thomas Gauss

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

AutorGauss, Thomas

VerlagKIT Scientific Publishing, Karlsruhe

ISBN9783866445420

UmfangIV, 130 S.

Veröffentlicht
am:
15.10.2010

Erscheinungs-
jahr
2010

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000019300

Abstract

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.