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Ambrosio-DiPerna-Lions theory 1Littlewood-Paley analysis 1Osgood condition 1renormalization 1transport equations 1uniqueness of solutions 1

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math.AP2026

Osgood meets Ambrosio-DiPerna-Lions

Guido De Philippis, Leonardo Franchi

The paper extends the Ambrosio‑DiPerna‑Lions theory for transport equations to vector fields that meet an Osgood condition, proving uniqueness and renormalization of bounded…