Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity

Title:

Stability for non-autonomous linear evolution equations with $L^p$-maximal regularity

Creator:

Laasri, Hafida and El-Mennaoui, Omar

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:fba52d93-3ee7-438d-982c-9d49bcf675df
uuid:fba52d93-3ee7-438d-982c-9d49bcf675df

Subject:

maximal regularity, on-autonomous evolution equation, stability for linear evolution equation, and integrability for linear evolution equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

887-908

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:4

Harvested from:

CDK

Metadata only:

false