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Gaussian Estimates for Second-Order Operators with Unbounded Coefficients

✍ Scribed by Stefan Karrmann

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
215 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 Ο± 0 Ε½ . groups on L for all p g 1, Ο± . If the second-order coefficients are in some p L q L , we get upper pseudo-Gaussian bounds of the heat kernel. Maximal q Ο± regularity, spectral independence on L , and analyticity of the generated semip group on L are studied for these operators.

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