A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation
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Publication:5164840
DOI10.1080/03605302.2021.1883650zbMath1477.35070arXiv1812.06817OpenAlexW3134384486MaRDI QIDQ5164840
Laura Caravenna, Gianluca Crippa
Publication date: 15 November 2021
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.06817
Lipschitz extensioncontinuity equationdisintegrationgeodesic distanceDiPerna-Lions theoryflow of a vector field
Initial value problems for linear first-order PDEs (35F10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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