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Elliptic difference equations and interior regularity

✍ Scribed by Vidar Thomée; Bertil Westergren

Publisher: Springer-Verlag
Year: 1968
Tongue: English
Weight: 751 KB
Volume: 11
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf02161842

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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__