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Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields
Published 9 Jun 2018 in math.AP | (1806.03466v2)
Abstract: The aim of this note is to prove sharp regularity estimates for solutions of the continuity equation associated to vector fields of class $W{1,p}$ with $p>1$. The regularity is of "logarithmic order" and is measured by means of suitable versions of Gargliardo's seminorms.
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