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Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting Thomas Gauss
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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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| Medij | Knjige Paperback Book (Knjiga z mehkimi platnicami in lepljenim hrbtom) |
| Izdano | 16. oktobra 2014 |
| ISBN13 | 9783866445420 |
| Založniki | Karlsruher Institut für Technologie |
| Strani | 144 |
| Dimenzije | 148 × 210 × 8 mm · 181 g |
| Jezik | Angleščina |
