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Extra regularity for parabolic equations with drift terms

✍ Scribed by Vitali Liskevich; Qi S. Zhang


Publisher
Springer
Year
2004
Tongue
English
Weight
174 KB
Volume
113
Category
Article
ISSN
0025-2611

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Maximal Lp regularity for parabolic diff
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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__ β€²~__h__~ (__t__) – __A__ ~__h__~ __u__ ~h~(__t__) = __f__ ~__h__~ (__t__), __t__