TY - BOOK
ID - 34418
TI - Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting
AU - Gauss, Thomas
PB - KIT Scientific Publishing
PY - 2010
KW - Floquet theory, Bloch solution, periodic evolution equation, superposition principle, Lp setting
SN - 9783866445420
AB - 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.
ER -