@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/} }
TY - JOUR AU - Hauray, M TI - On two-dimensional hamiltonian transport equations with $\mathbb {L}_{loc}^p$ coefficients JO - Annales de l'I.H.P. Analyse non linéaire PY - 2003 DA - 2003/// SP - 625 EP - 644 VL - 20 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S0294-1449(02)00015-X/ UR - https://zbmath.org/?q=an%3A1028.35148 UR - https://doi.org/10.1016/S0294-1449(02)00015-X DO - 10.1016/S0294-1449(02)00015-X LA - en ID - AIHPC_2003__20_4_625_0 ER -
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] Sobolev Spaces, Academic Press, 1975, p. 54. | MR 450957 | Zbl 0314.46030
,[2] Renormalized solutions to the Vlassov equation with coefficients of bounded variation, Arch. Rat. Mech. Anal. 157 (2001) 75-90. | MR 1822415 | Zbl 0979.35032
,[3] On two-dimensional hamiltonian transport equations with continuous coefficients, Differential Integral Equation 14 (8) (2001) 1015-1024. | MR 1827101 | Zbl 1028.35042
, ,[4] Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98 (1989) 511-547. | MR 1022305 | Zbl 0696.34049
, ,[5] Sur les équations différentielles ordinaires et les équations de transport, C. R. Acad. Sci. Paris, Série I 326 (1998) 833-838. | MR 1648524 | Zbl 0919.34028
,[6] Real Analysis, The MacMullan Company, 1963, Chapter 14. | MR 151555 | Zbl 0197.03501
,[7] Weakly Differentiable Functions, GTM, Springer-Verlag, 1989, p. 44. | MR 1014685 | Zbl 0692.46022
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