Displaying similar documents to “Maximal regularity for flexible structural systems in Lebesgue spaces.”

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 ] → ℒ ( 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).

Time and space Sobolev regularity of solutions to homogeneous parabolic equations

Gabriella Di Blasio (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We give necessary and sufficient conditions on the initial data such that the solutions of parabolic equations have a prescribed Sobolev regularity in time and space.