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- Author: Thomas Gauss
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3866445423
- ISBN-13: 9783866445420
- Format: 14.8 x 21 x 0.8 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting (e-book) (used book) | bookbook.eu
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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.
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- Author: Thomas Gauss
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3866445423
- ISBN-13: 9783866445420
- Format: 14.8 x 21 x 0.8 cm, minkšti viršeliai
- Language: English English
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.
Reviews