We study the heat kernel of higher order elliptic operators or systems under divergence form on R n . Ellipticity is in the sense of Ga# rding inequality. We show that for homogeneous operators Gaussian upper bounds and Ho lder regularity of the heat kernel is equivalent to local regularity of weak
On W1,p estimates for elliptic equations in divergence form
โ Scribed by L. A. Caffarelli; I. Peral
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 248 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0010-3640
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## Abstract This is an alternative approach of finding the __W__^2, __p__^ estimates of the heat equation in a domain, ฮฉโโ^__n__^. Methods used in (__Acta Math. Sin.__ 2003; **19**(2):381โ396) are expanded to the case of a bounded domain. As a result, milder restrictions are applied to โฮฉ than prev
## Kurznachrichten wahrnehmung, Auflosungsvermogen, Formen-und Bewegungssehen) untersucht. Das Spektrum der Anleitungen reicht von einfachen Demonstrationen bekannter und erklarter Phanomene bis zu solchen, die mehr bestaunt als erklart werden konnen. I79 Literaturzitate geben dem Leser die Moglic