On two-dimensional hamiltonian transport equations with 𝕃 loc p coefficients
Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 4, pp. 625-644.
@article{AIHPC_2003__20_4_625_0,
     author = {Hauray, M},
     title = {On two-dimensional hamiltonian transport equations with $\mathbb {L}_{loc}^p$ coefficients},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {625--644},
     publisher = {Elsevier},
     volume = {20},
     number = {4},
     year = {2003},
     doi = {10.1016/S0294-1449(02)00015-X},
     zbl = {1028.35148},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/S0294-1449(02)00015-X/}
}
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Hauray, M. On two-dimensional hamiltonian transport equations with $\mathbb {L}_{loc}^p$ coefficients. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 4, pp. 625-644. doi : 10.1016/S0294-1449(02)00015-X. http://archive.numdam.org/articles/10.1016/S0294-1449(02)00015-X/

[1] Adams R.A., Sobolev Spaces, Academic Press, 1975, p. 54. | MR | Zbl

[2] Bouchut F., Renormalized solutions to the Vlassov equation with coefficients of bounded variation, Arch. Rat. Mech. Anal. 157 (2001) 75-90. | MR | Zbl

[3] Bouchut F., Desvillettes L., On two-dimensional hamiltonian transport equations with continuous coefficients, Differential Integral Equation 14 (8) (2001) 1015-1024. | MR | Zbl

[4] Diperna R.J., Lions P.L., Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98 (1989) 511-547. | MR | Zbl

[5] Lions P.L., Sur les équations différentielles ordinaires et les équations de transport, C. R. Acad. Sci. Paris, Série I 326 (1998) 833-838. | MR | Zbl

[6] Royden H.L., Real Analysis, The MacMullan Company, 1963, Chapter 14. | MR | Zbl

[7] Ziemer W.P., Weakly Differentiable Functions, GTM, Springer-Verlag, 1989, p. 44. | MR | Zbl

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