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Lp-theory for second-order elliptic operators with unbounded coefficients

โœ Scribed by Motohiro Sobajima


Book ID
118777633
Publisher
Springer
Year
2012
Tongue
English
Weight
240 KB
Volume
12
Category
Article
ISSN
1424-3199

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Gaussian Estimates for Second-Order Oper
โœ Stefan Karrmann ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

We study second-order differential operators A with lower-order coefficients in some L q L . We prove the generation of positive, quasi-contractive C semiq ฯฑ 0 ลฝ . groups on L for all p g 1, ฯฑ . If the second-order coefficients are in some p L q L , we get upper pseudo-Gaussian bounds of the heat ke