@article{ASNSP_2000_4_29_2_313_0, author = {B\'enilan, Philippe and Carrillo, Jose and Wittbold, Petra}, title = {Renormalized entropy solutions of scalar conservation laws}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {313--327}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {2}, year = {2000}, mrnumber = {1784177}, zbl = {0965.35021}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2000_4_29_2_313_0/} }
TY - JOUR AU - Bénilan, Philippe AU - Carrillo, Jose AU - Wittbold, Petra TI - Renormalized entropy solutions of scalar conservation laws JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 313 EP - 327 VL - 29 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_2000_4_29_2_313_0/ LA - en ID - ASNSP_2000_4_29_2_313_0 ER -
%0 Journal Article %A Bénilan, Philippe %A Carrillo, Jose %A Wittbold, Petra %T Renormalized entropy solutions of scalar conservation laws %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 313-327 %V 29 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_2000_4_29_2_313_0/ %G en %F ASNSP_2000_4_29_2_313_0
Bénilan, Philippe; Carrillo, Jose; Wittbold, Petra. Renormalized entropy solutions of scalar conservation laws. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 29 (2000) no. 2, pp. 313-327. http://archive.numdam.org/item/ASNSP_2000_4_29_2_313_0/
[1] L1 -theory of scalar conservation law with continuous flux function, to appear in J. Funct. Anal. | MR | Zbl
- - ,[2] Problème d'obstacle pour une équation quasi-linéaire du premier ordre, Ann. Fac. Sci. Toulouse Math. (6) 9 (1988),137-159. | EuDML | Numdam | MR | Zbl
,[3] An L 1-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), 241-273. | EuDML | Numdam | MR | Zbl
- - - - - ,[4] Equations d'évolution dans un espace de Banach quelconque et applications ", Thèse d'Etat, Orsay, 1972.
, "[5] Conservation laws with continuous flux functions, Nonlinear Differential Equations Appl. 3 (1996), 395-419. | MR | Zbl
- ,[6] Nonlinear Evolution Equations in Banach Spaces", book to appear.
- - , "[7] Renormalised solutions of nonlinear parabolic problems with L1-data: existence and uniqueness, Proc. Royal Soc. Edinburgh Sect. A 127 (1997), 1137-1152. | MR | Zbl
- ,[8] Solutions rénormalisées d'équations paraboliques à deux nonlinéarités, C.R. Acad. Sci. Paris Sér. I Math. 319 (1994), 831-835. | MR | Zbl
- ,[9] Scalar conservation laws in L 1 with boundary conditions, in preparation.
- ,[10] Renormalized entropy solutions of quasilinear equations in divergence form, in preparation.
- ,[11] The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math. 12 (1972), 108-122. | MR | Zbl
,[12] Generation of semi-groups of nonlinear transformations in general Banach spaces, Amer. J. Math. 93 (1971), 265-298. | MR | Zbl
- ,[13] Renormalized solutions of elliptic equations, to appear in Ann. Sc. Norm. Sup. di Pisa. | Numdam
- - - ,[14] Definition and existence of renormalized solutions of elliptic equations with general measure data, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), 481-486. | MR | Zbl
- - - ,[15] On the Cauchy problem for Boltzmann equations: global existence and weak stability, Ann. of Math. 130 (1989), 321-366. | MR | Zbl
- ,[16] Example of Nonuniqueness of Entropy Solutions in the Class of Locally Bounded Functions, Russian Journal of Math. Physics 6, No. 4 (1999), 492-494. | MR | Zbl
- ,[17] Generalized solutions of the Cauchy problem in the large for first-order nonlinear equations, Dokl. Akad. Nauk SSSR 187 (1969), 29-32; English tr. in Soviet. Math. Dokl. 10 (1969), 785-788. | MR | Zbl
,[18] First-order quasilinear equations in several independent variables, Mat. Sbornik 81 (1970), 228-255; English tr. in Math. USSR Sb. 10 (1970), 217-243. | MR | Zbl
,[19] Soluciones renormalizadas de EDP elipticas no lineales, Publ. Laboratoire d' Analyse Numérique, Univ. Paris6, R 93023 (1993).
,