Explore
Floquet Theory for a Class of Periodic Evolution Equations in an L_1tnp-setting
Thomas Gauss
2010
0 Ungluers have
Faved this Work
Login to Fave
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.
This book is included in DOAB.
Why read this book? Have your say.
You must be logged in to comment.
Rights Information
Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.Downloads
This work has been downloaded 31 times via unglue.it ebook links.
- 31 - pdf (CC BY-NC-ND) at Unglue.it.
Keywords
- Bloch solution
- Computer science
- Computing & information technology
- Floquet theory
- Lp setting
- periodic evolution equation
- superposition principle
Links
DOI: 10.5445/KSP/1000019300Editions