On the regularity of abstract Cauchy problems and boundary value problems

Philippe Clément; Sylvie Guerre-Delabrière

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

Maximal regularity for flexible structural systems in Lebesgue spaces.

Fernández, Claudio, Lizama, Carlos, Poblete, Verónica (2010)

Mathematical Problems in Engineering

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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 $(P) \{\begin{matrix} \dot{u} (t) + A (t) u (t) = f (t) t -a.e. on [0, τ], u (0) = 0, \end{matrix}$ where $A : [0, τ] \to ℒ (X, D)$ is a bounded and strongly measurable function and $X$ , $D$ are Banach spaces such that $D \underset{d}{\to} ↪ X$ . Our main concern is to characterize $L^{p}$ -maximal regularity and to give an explicit approximation of the problem (P).