9783866445420 - Floquet theory for a class of periodic evolution equations in an Lp-setting

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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.

Produktinformationen zuletzt aktualisiert am
27.03.2025 um 13:47 Uhr

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EAN

9783866445420

MPN

ASIN

3866445423

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