Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields-Reference-Cited by-同舟云学术

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Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields

Published:2023-09-25 Issue:5 Volume:55 Page:4640-4663
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Pitcho Jules¹,Sorella Massimo²^ORCID

Affiliation:

1. ENS de Lyon, UMPA, 46 allée d’Italie, 69364 Lyon, France.

2. École Polytechnique Fédérale de Lausanne, Institute of Mathematics, Station 8, CH-1015 Lausanne, Switzerland.

Funder

Swiss National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Reference24 articles.

1. Generalized N-property and Sard theorem for Sobolev maps

2. Transport equation and Cauchy problem for BV vector fields

3. Transport Equation and Cauchy Problem for Non-Smooth Vector Fields

4. A uniqueness result for the decomposition of vector fields in $$\mathbb {R}^{{d}}$$

5. Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A remark on selection of solutions for the transport equation;Journal of Evolution Equations;2024-08-22

2. The Baire category method for intermittent convex integration;Acta Mathematica Hungarica;2023-10-31

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