$L^p$ Maximal Regularity for Second Order Cauchy Problems is Independent of $p$

Chill, Ralph; Srivastava, Sachi

L^{p}

Maximal Regularity for Second Order Cauchy Problems is Independent of

p

Chill, Ralph ; Srivastava, Sachi

Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 147-157 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

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 $p\in(1,\infty)$ .

Publié le : 2008-02-01

MR 2388002 | Zbl 1210.34078

@article{BUMI_2008_9_1_1_147_0,
     author = {Ralph Chill and Sachi Srivastava},
     title = {$L^p$ Maximal Regularity for Second Order Cauchy Problems is Independent of $p$},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1},
     year = {2008},
     pages = {147-157},
     zbl = {1210.34078},
     mrnumber = {2388002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_1_147_0}
}

Chill, Ralph; Srivastava, Sachi. $L^p$ Maximal Regularity for Second Order Cauchy Problems is Independent of $p$. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 147-157. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_1_147_0/

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