@article{AIHPC_2000__17_4_413_0,
author = {Cheverry, C.},
title = {Regularizing effects for multidimensional scalar conservation laws},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {413--472},
year = {2000},
publisher = {Gauthier-Villars},
volume = {17},
number = {4},
mrnumber = {1782740},
zbl = {0966.35074},
language = {en},
url = {https://www.numdam.org/item/AIHPC_2000__17_4_413_0/}
}
TY - JOUR AU - Cheverry, C. TI - Regularizing effects for multidimensional scalar conservation laws JO - Annales de l'I.H.P. Analyse non linéaire PY - 2000 SP - 413 EP - 472 VL - 17 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPC_2000__17_4_413_0/ LA - en ID - AIHPC_2000__17_4_413_0 ER -
Cheverry, C. Regularizing effects for multidimensional scalar conservation laws. Annales de l'I.H.P. Analyse non linéaire, Tome 17 (2000) no. 4, pp. 413-472. https://www.numdam.org/item/AIHPC_2000__17_4_413_0/
[1] , , Regularizing effects of homogeneous evolution equations, in: Contributions to Analysis and Geometry, John Hopkins Univ. Press, Baltimore MD, 1981, pp. 23-39. | Zbl | MR
[2] , , Averaging lemmas without time Fourier transform and applications to discretized kinetic equations, Proc. Royal Soc. Edinburgh A 129 (1999) 19-36. | Zbl | MR
[3] , Introduction to the mathematical theory of kinetic equations, in: Coll. Series in Appl. Math. Session "L'état de la recherche" de la S. M. F., Equations cinétiques, Orléans, Elsevier, Amsterdam, 1998.
[4] , Averaged multivalued solutions fot scalar conservation laws, SIAM J. Numer. Anal. 6 (1984) 1013-1037. | Zbl | MR
[5] , Effet régularisant pour une loi de conservation scalaire multidimensionnelle, Séminaire: Equations aux derivees partielles, 1998-99, Exp. No. XXIV, 15 pp., Ecole Polytechnique, Palaiseau. | Zbl | MR | Numdam
[6] , The formation and decay of shocks for a conservation law in several dimensions, Arch. Rational Mech. Anal. 64 (1977) 47-57. | Zbl | MR
[7] , Asymptotic behavior of solutions of hyperbolic balance laws, in: Bardos C., Bessis D. (Eds.), Bifurcation Phenomena in Mathematical Physics, Reidel, Dordrecht, 1979, pp. 521-533. | Zbl | MR
[8] , Regularity and large time behaviour of solutions of a conservation law without convexity, Proc. Roy. Soc. Edinburgh Sect. A 99 (1985) 201-239. | Zbl | MR
[9] , , , Lp regularity of velocity averages, Ann. Inst. Henri Poincaré 8 (1991) 271-287. | Zbl | MR | Numdam
[10] , Large time behavior and homogenization of solutions of two-dimensional conservation laws, Comm. Pure Apl. Math. 46 (1993) 1-26. | Zbl | MR
[11] , Moyennisation et régularité deux-microlocale, Ann. Sci. Ecole Norm. Sup. 23 (1990) 89-121. | Zbl | MR | Numdam
[12] , , , , Regularity of the moments of the solution of a transport equation, J. Funct. Anal. 76 (1988) 110-125. | Zbl | MR
[13] , The Radon Transform, Progress in Mathematics, Vol. 5, Birkhäuser. | Zbl | MR
[14] , First-order quasilinear equations in several independent variables, Math. USSR-Sb. 64 (1977) 47-57.
[15] , Hyperbolic systems of conservation laws and the mathematical theory of shock waves, in: Regional Conference Series in Applied Mathematics, SIAM, 1973. | Zbl | MR
[16] , The formation and decay of shock waves, Amer. Math. Month. 3 (1972) 227-241. | Zbl | MR
[17] , , Source solutions and asymptotic behavior in conservation laws, SIAM J. Math. Anal. 19 (1988) 763-773.
[18] , , , A kinetic formulation of multidimensional scalar conservation laws and related equations, Bull. Amer. Math. Soc. 7 (1994) 169-189. | Zbl | MR
[19] , Regularity through approximation for scalar conservation laws, Comm. Pure Appl. Math. 10 (1957) 537-566. | MR
[20] , A Poincaré-Bendixon theorem for scalar balance laws, Proc. Royal Soc. Edinburgh A 124 (1994) 589-607. | Zbl | MR
[21] , Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 5 (1978) 489-507. | Zbl | MR | Numdam
[22] , Discontinuous solutions of nonlinear differential equations, Usp. Mat. Nauk. 26 (1963) 95-172. | Zbl
[23] , A regularizing effect of nonlinear transport equations, Quart. Appl. Math. 56 ( 1998) 355-375. | Zbl | MR
[24] , , A kinetic equation with kinetic entropy functions for scalar conservation laws, Comm. Math. Phys. 136 (1991) 501-517. | Zbl | MR
[25] , A regularity theorem for conservation laws, Adv. in Math. 11 (1973) 368-386. | Zbl | MR
[26] , Systèmes de lois de conservation I, Diderot éditeur, arts et sciences. | MR
[27] , Une nouvelle méthode de résolution d'équations aux dérivées partielles non linéaires, in: Lecture Notes in Math., Vol. 665, Springer, Berlin, 1977, pp. 228- 241. | Zbl | MR
[28] , Contributions à l'approche cinétique des systèmes de lois de conservation hyperboliques, Thèse de doctorat de l'université Paris 6, 1999.
[29] , The space BV and quasilinear equations, Mat. Sb. 73 (1967). English translation: Math. USSR Sb. 2 (1967) 225-267. | Zbl | MR
[30] , Decay rates for nonconvex systems of conservation laws, Comm. Pure Appl. Math. 46 (1993) 353-386. | Zbl | MR





