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Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
Thomas Gauss
Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
Thomas Gauss
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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Media | Books Paperback Book (Book with soft cover and glued back) |
Released | October 16, 2014 |
ISBN13 | 9783866445420 |
Publishers | Karlsruher Institut für Technologie |
Pages | 144 |
Dimensions | 148 × 210 × 8 mm · 181 g |
Language | English |
See all of Thomas Gauss ( e.g. Paperback Book )