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Maximal regularity for evolution equations in weightedLp-spaces

✍ Scribed by J. Prüss; G. Simonett

Publisher: Springer
Year: 2004
Tongue: English
Weight: 157 KB
Volume: 82
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s00013-004-0585-2

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## Abstract In this paper, we consider a family of finite difference operators {__Ah__ }~__h__ >0~ on discrete __L__ ~__q__~ ‐spaces __L__ ~__q__~ (ℝ^__N__^ ~__h__~ ). We show that the solution __u__ ~__h__~ to __u__ ′~__h__~ (__t__) – __A__ ~__h__~ __u__ ~h~(__t__) = __f__ ~__h__~ (__t__), __t__