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Elliptic Operators of Higher Order in Divergence Form

โœ Scribed by Umberto Neri


Book ID
123648142
Publisher
National Academy of Sciences
Year
1968
Tongue
English
Weight
104 KB
Volume
59
Category
Article
ISSN
0027-8424

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โœ P. Auscher; M. Qafsaoui ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

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