Geodesic
Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 887-908 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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).
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).
DOI : 10.1007/s10587-013-0060-y
Classification : 35K90, 47D06
Keywords: maximal regularity; on-autonomous evolution equation; stability for linear evolution equation; integrability for linear evolution equation 
@article{10_1007_s10587_013_0060_y,
     author = {Laasri, Hafida and El-Mennaoui, Omar},
     title = {Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity},
     journal = {Czechoslovak Mathematical Journal},
     pages = {887--908},
     year = {2013},
     volume = {63},
     number = {4},
     doi = {10.1007/s10587-013-0060-y},
     mrnumber = {3165503},
     zbl = {06373950},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0060-y/}
}
TY  - JOUR
AU  - Laasri, Hafida
AU  - El-Mennaoui, Omar
TI  - Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity
JO  - Czechoslovak Mathematical Journal
PY  - 2013
SP  - 887
EP  - 908
VL  - 63
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0060-y/
DO  - 10.1007/s10587-013-0060-y
LA  - en
ID  - 10_1007_s10587_013_0060_y
ER  - 
%0 Journal Article
%A Laasri, Hafida
%A El-Mennaoui, Omar
%T Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity
%J Czechoslovak Mathematical Journal
%D 2013
%P 887-908
%V 63
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0060-y/
%R 10.1007/s10587-013-0060-y
%G en
%F 10_1007_s10587_013_0060_y
Laasri, Hafida; El-Mennaoui, Omar. Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 4, pp. 887-908. doi: 10.1007/s10587-013-0060-y

Cité par Sources :