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[null,"1.","Record Nr.",null,"UNINA9910346913103321"]
[null,null,"Autore",null,"Gauss Thomas"]
[null,null,"Titolo",null,"Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting"]
[null,null,"Pubbl/distr/stampa",null,"KIT Scientific Publishing, 2010"]
[null,null,"ISBN",null,"1000019300"]
[null,null,"Descrizione fisica",null,"1 online resource (IV, 130 p. p.)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"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."]