Geodesic
$L^p$ Maximal Regularity for Second Order Cauchy Problems is Independent of $p$
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 147-157.

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If the second order problem $\ddot{u} + \dot{u} + Au = f$ has $L^p$ maximal regularity for some $p \in (1, \infty)$, then it has $L^{p}$ maximal regularity for every $p \in (1, \infty)$.
Si prova che se il problema del secondo ordine $\ddot{u} + \dot{u} + Au = f$ ha regolarità massimale $L^p$ per qualche $p \in (1, \infty)$ allora ha regolarità massimale $L^p$ per ogni $p \in (1, \infty)$. 
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Chill, Ralph; Srivastava, Sachi. $L^p$ Maximal Regularity for Second Order Cauchy Problems is Independent of $p$. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 147-157. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a6/

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