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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Seregin, G, Silvestre, L, Sverak, V, Zlatos, A
Fformat: Journal article
Iaith:English
Cyhoeddwyd: 2012