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Displaying similar documents to “On the regularity of abstract Cauchy problems and boundary value problems”

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

Hafida Laasri, Omar El-Mennaoui (2013)

Czechoslovak Mathematical Journal

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We study stability and integrability of linear non-autonomous evolutionary Cauchy-problem ( P ) u ˙ ( t ) + A ( t ) u ( t ) = f ( t ) t -a.e. on [ 0 , τ ] , u ( 0 ) = 0 , where A : [ 0 , τ ] ( X , D ) is a bounded and strongly measurable function and X , D are Banach spaces such that D d X . Our main concern is to characterize L p -maximal regularity and to give an explicit approximation of the problem (P).