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

• Main Author: Gauss, Thomas (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: KIT Scientific Publishing 2010
• Subjects: Bloch solution; Lp setting; Floquet theory; periodic evolution equation; superposition principle
• Online Access: DOAB: download the publication; DOAB: description of the publication

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,...