On divergence-free drifts

We investigate the validity and failure of Liouville theorems and Harnack inequalities for parabolic and elliptic operators with low regularity coefficients. We are particularly interested in operators of the form ∂t-Δ+b-∇ resp. -Δ+b-∇ with a divergence-free drift b. We prove the Liouville theorem a...

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Bibliographic Details
Main Authors: Seregin, G, Silvestre, L, Sverak, V, Zlatos, A
Format: Journal article
Language:English
Published: 2012