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...
Main Authors: | Seregin, G, Silvestre, L, Sverak, V, Zlatos, A |
---|---|
Format: | Journal article |
Language: | English |
Published: |
2012
|
Similar Items
-
Parabolic equations with singular divergence‐free drift vector fields
by: Qian, Z, et al.
Published: (2018) -
On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier-Stokes Equations
by: Seregin, G, et al.
Published: (2009) -
On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large L3-initial data
by: Seregin, G, et al.
Published: (2016) -
Markov semi-groups generated by elliptic operators with divergence-free drift
by: Qian, Z, et al.
Published: (2021) -
Hölder estimates for fractional parabolic equations with critical divergence free drifts
by: Delgadino, MG, et al.
Published: (2017)