Potential theory for nonlocal drift-diffusion equations
arxiv(2023)
摘要
The purpose of this paper is to prove new fine regularity results for
nonlocal drift-diffusion equations via pointwise potential estimates. Our
analysis requires only minimal assumptions on the divergence free drift term,
enabling us to include drifts of critical order belonging merely to BMO. In
particular, our results allow to derive new estimates for the dissipative
surface quasi-geostrophic equation.
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