01598nam 2200349z- 450 991034691310332120231214133350.01000019300(CKB)4920000000101391(oapen)https://directory.doabooks.org/handle/20.500.12854/47753(EXLCZ)99492000000010139120202102d2010 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFloquet Theory for a Class of Periodic Evolution Equations in an Lp-SettingKIT Scientific Publishing20101 electronic resource (IV, 130 p. p.)3-86644-542-3 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.Bloch solutionLp settingFloquet theoryperiodic evolution equationsuperposition principleGauss Thomasauth1290976BOOK9910346913103321Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting3021715UNINA