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 $p \in (1, \infty)$. 
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     title = {$L^p$ {Maximal} {Regularity} for {Second} {Order} {Cauchy} {Problems} is {Independent} of $p$},
     journal = {Bollettino della Unione matematica italiana},
     pages = {147--157},
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     year = {2008},
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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/