LEADER 01598nam  2200349z- 450 
001 9910346913103321
005 20231214133350.0
010   $a1000019300
035   $a(CKB)4920000000101391
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/47753
035   $a(EXLCZ)994920000000101391
100   $a20202102d2010      |y             0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFloquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
210   $cKIT Scientific Publishing$d2010
215   $a1 electronic resource (IV, 130 p. p.)
311   $a3-86644-542-3 
330   $aIn 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.
610   $aBloch solution
610   $aLp setting
610   $aFloquet theory
610   $aperiodic evolution equation
610   $asuperposition principle
700   $aGauss$b Thomas$4auth$01290976
906   $aBOOK
912   $a9910346913103321
996   $aFloquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting$93021715
997   $aUNINA