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

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.

• | Author: Thomas Gauss
• | Publisher: Karlsruher Institut Fur Technologie
• | Publication Date: Oct 16, 2014
• | Number of Pages: 144 pages
• | Binding: Paperback or Softback
• | ISBN-10: 3866445423
• | ISBN-13: 9783866445420