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commutator analysis 1heat flow 1quantitative differentiation 1regularity estimates 1sobolev regularity 1transport equations 1

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math.AP2026

Regularity estimates in transport equations via heat flow and quantitative differentiation

Elia Brué, Maria Colombo, Guido De Philippis +1

The paper establishes quantitative estimates for commutators in transport equations, showing how logarithmic Sobolev regularity propagates via heat flow and using quantitative diff…