A remark on selection of solutions for the transport equation
Author:
Funder
Simons Foundation
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00028-024-00996-1.pdf
Reference23 articles.
1. L. Ambrosio, Transport equation and Cauchy problem for BV vector fields, Inventiones mathematicae 158 (2004), 227–260.
2. L. Ambrosio and G. Crippa, Continuity equations and ODE flows with non-smooth velocity, Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), 1191–1244.
3. L. Ambrosio, N. Fusco, D. Pallara, Functions of bounded variation and free discontinuity problems, Oxford Mathematical Monographs, 2000.
4. S. Bianchini and P. Bonicatto, A uniqueness result for the decomposition of vector fields in Rd, Inventiones mathematicae 220 (2020), 255–393.
5. P. Bonicatto, G. Ciampa, and G. Crippa, On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity, Journal de Mathématiques Pures et Appliquées 167 (2022), 204–224.
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