Regularity of Lagrangian flows over RCD*(K, N) spaces

The aim of this note is to provide regularity results for Regular Lagrangian flows of Sobolev vector fields over compact metric measure spaces verifying the Riemannian curvature dimension condition. We first prove, borrowing some ideas already present in the literature, that flows generated by vecto...

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Bibliographic Details
Main Authors: Brué, E, Semola, D
Format: Journal article
Language:English
Published: De Gruyter 2019