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!
|
| LEADER | 01477nam-a2200325z--4500 | ||
|---|---|---|---|
| 001 | 993545563604498 | ||
| 005 | 20231214133350.0 | ||
| 006 | m o d | ||
| 007 | cr|mn|---annan | ||
| 008 | 202102s2010 xx |||||o ||| 0|eng d | ||
| 020 | |a 1000019300 | ||
| 035 | |a (CKB)4920000000101391 | ||
| 035 | |a (oapen)https://directory.doabooks.org/handle/20.500.12854/47753 | ||
| 035 | |a (EXLCZ)994920000000101391 | ||
| 041 | 0 | |a eng | |
| 100 | 1 | |a Gauss, Thomas |4 auth | |
| 245 | 1 | 0 | |a Floquet Theory for a Class of Periodic Evolution Equations in an Lp-Setting |
| 260 | |b KIT Scientific Publishing |c 2010 | ||
| 300 | |a 1 electronic resource (IV, 130 p. p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a 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. | ||
| 546 | |a English | ||
| 653 | |a Bloch solution | ||
| 653 | |a Lp setting | ||
| 653 | |a Floquet theory | ||
| 653 | |a periodic evolution equation | ||
| 653 | |a superposition principle | ||
| 776 | |z 3-86644-542-3 | ||
| 906 | |a BOOK | ||
| ADM | |b 2023-12-15 05:51:40 Europe/Vienna |f system |c marc21 |a 2019-11-10 04:18:40 Europe/Vienna |g false | ||
| AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5337981600004498&Force_direct=true |Z 5337981600004498 |b Available |8 5337981600004498 | ||