| Title:
|
Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity (English) |
| Author:
|
Laasri, Hafida |
| Author:
|
El-Mennaoui, Omar |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
4 |
| Year:
|
2013 |
| Pages:
|
887-908 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study stability and integrability of linear non-autonomous evolutionary Cauchy-problem $$ ({\rm P}) \begin {cases} \dot {u}(t)+A(t)u(t)=f(t)\quad t\text {-a.e. on} [0,\tau ], u(0)=0, \end {cases} $$ where $A\colon [0,\tau ]\to \mathcal {L}(X,D)$ is a bounded and strongly measurable function and $X$, $D$ are Banach spaces such that $D\underset {d}\to {\hookrightarrow }X$. Our main concern is to characterize $L^p$-maximal regularity and to give an explicit approximation of the problem (P). (English) |
| Keyword:
|
maximal regularity |
| Keyword:
|
on-autonomous evolution equation |
| Keyword:
|
stability for linear evolution equation |
| Keyword:
|
integrability for linear evolution equation |
| MSC:
|
35K90 |
| MSC:
|
47D06 |
| idZBL:
|
Zbl 06373950 |
| idMR:
|
MR3165503 |
| DOI:
|
10.1007/s10587-013-0060-y |
| . |
| Date available:
|
2014-01-28T14:04:31Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143605 |
| . |
| Reference:
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