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

• Autore: Gauss Thomas
• Pubblicazione: KIT Scientific Publishing, 2010
• Descrizione fisica: 1 online resource (IV, 130 p. p.)
• Soggetto non controllato: Bloch solution; Floquet theory; Lp setting; periodic evolution equation; superposition principle
• Sommario/riassunto: 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.
• Titolo autorizzato: Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
• ISBN: 1000019300
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910346913103321
• Lo trovi qui: Univ. Federico II