Pointwise gradient estimates for evolution operators associated with Kolmogorov operators

We determine sufficient conditions for the occurrence of a pointwise gradient estimate for the evolution operators associated with nonautonomous second order parabolic operators with (possibly) unbounded coefficients. Moreover, we exhibit a class of operators which satisfy our conditions.

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Bibliographic Details
Published inArchiv der Mathematik Vol. 101; no. 2; pp. 159 - 170
Main Author Angiuli, Luciana
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.08.2013
Subjects
Mathematics
Mathematics and Statistics
Primary 35K10
Secondary 35K15
35B65
Nonautonomous second order elliptic operators
Gradient estimates
Evolution operators
Unbounded coefficients
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Summary:We determine sufficient conditions for the occurrence of a pointwise gradient estimate for the evolution operators associated with nonautonomous second order parabolic operators with (possibly) unbounded coefficients. Moreover, we exhibit a class of operators which satisfy our conditions.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-013-0542-z