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,...
Saved in:
: | |
---|---|
Year of Publication: | 2010 |
Language: | English |
Physical Description: | 1 electronic resource (IV, 130 p. p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | 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. |
---|---|
ISBN: | 1000019300 |
Hierarchical level: | Monograph |