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Maximal regularity for evolution equations by interpolation and extrapolation

✍ Scribed by G Da Prato; P Grisvard

Book ID: 107794912
Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 650 KB
Volume: 58
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(84)90034-x

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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__