no. 3-4
Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws
Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 3-4, pp. 231-269. 
@article{AIHPC_1991__8_3-4_231_0,
     author = {Dafermos, C. M. and Geng, X.},
     title = {Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {231--269},
     publisher = {Gauthier-Villars},
     volume = {8},
     number = {3-4},
     year = {1991},
     mrnumber = {1127926},
     zbl = {0776.35033},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1991__8_3-4_231_0/}
}
TY  - JOUR
AU  - Dafermos, C. M.
AU  - Geng, X.
TI  - Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1991
SP  - 231
EP  - 269
VL  - 8
IS  - 3-4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1991__8_3-4_231_0/
LA  - en
ID  - AIHPC_1991__8_3-4_231_0
ER  - 
%0 Journal Article
%A Dafermos, C. M.
%A Geng, X.
%T Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws
%J Annales de l'I.H.P. Analyse non linéaire
%D 1991
%P 231-269
%V 8
%N 3-4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1991__8_3-4_231_0/
%G en
%F AIHPC_1991__8_3-4_231_0
Dafermos, C. M.; Geng, X. Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 3-4, pp. 231-269. http://www.numdam.org/item/AIHPC_1991__8_3-4_231_0/

[1] C.M. Dafermos, Characteristics in Hyperbolic Conservation Laws, Nonlinear Analysis and Mechanics, Vol. I, R. J. KNOPS Ed., London, Pitman, 1977, pp. 1-58. | MR | Zbl

[2] C.M. Dafermos, Generalized Characteristics and the Structure of Solutions of Hyperbolic Conservation Laws, Indiana Univ. Math. J., Vol. 26, 1977, pp. 1097-1119. | MR | Zbl

[3] C.M. Dafermos, Regularity and Large Time Behavior of Solutions of a Conservation Law Without Convexity, Proc. Roy. Soc. Edinb., Vol. 99 A, 1985, pp. 201-239. | MR | Zbl

[4] C.M. Dafermos, Dissipation in Materials With Memory, Viscoelasticity and Rheology, A. LODGE, J. A. NOHEL and M. RENARDY Eds., New York, Academic Press, 1985, pp. 221-234. | MR | Zbl

[5] C.M. Dafermos, Generalized Characteristics in Hyperbolic Systems of Conservation Laws, Arch. Rational Mech. Anal., Vol. 107, 1989, pp. 127-155. | MR | Zbl

[6] R.J. Diperna, Singularities of Solutions of Nonlinear Hyperbolic Systems of Conservation Laws, Arch. Rational Mech. Anal., Vol. 60, 1975, pp. 75-100. | MR | Zbl

[7] R.J. Diperna, Uniqueness of Solutions to Hyperbolic Conservation Laws, Indiana Univ. Math. J., Vol. 28, 1979, pp. 137-188. | MR | Zbl

[8] A.F. Filippov, Differential Equations with Discontinuous Right-Hand Side, Mat. Sb. (N.S.), Vol. 51, 1960, pp. 99-128. English transl., Am. Math. Soc. Transl., Ser. 2, Vol. 42, pp. 199-231. | MR | Zbl

[9] Xiao Geng, The Conservation Laws in Isotachophoresis Model (to appear).

[10] J. Glimm, Solution in the Large for Nonlinear Hyperbolic Systems of Equations, Comm. Pure Appl. Math., Vol. 18, 1965, pp. 697-715. | MR | Zbl

[11] A.E. Hurd, A Uniqueness Theorem for Weak Solutions of Symmetric Quasilinear Hyperbolic Systems, Pacific J. Math., Vol. 28, 1969, pp. 555-559. | MR | Zbl

[12] P.D. Lax, Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math., Vol. 10, 1957, pp. 537-566. | MR | Zbl

[13] P.D. Lax, Shock Waves and Entropy, Contributions to Functional Analysis, E. A. ZARANTONELLO Ed., New York, Academic Press, 1971, pp. 603-634. | MR | Zbl

[14] R.J. Levesque and B. Temple, Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws, Trans. Am. Math. Soc., Vol. 288, 1985, pp. 115-123. | MR | Zbl

[15] T.-P. Liu, Uniqueness of Weak Solutions of the Cauchy Problem for General 2 x 2 Conservation laws, J. Diff. Eqs., Vol. 20, 1976, pp. 369-388. | MR | Zbl

[16] O.A. Oleinik, Discontinuous Solutions of Nonlinear Differential Equations, Usp. Mat. Nauk (N.S.), Vol. 12, 1957, pp. 3-73. English Transl., Am. Math. Soc. Transl., Ser. 2, Vol. 26, pp. 95-172. | Zbl

[17] O.A. Oleinik, On the Uniqueness of the Generalized Solution of the Cauchy Problem for a Nonlinear System of Equations Occurring in Mechanics, Usp. Mat. Nauk (N.S.), Vol. 12, 1957, pp. 169-176. | MR | Zbl

[18] D.G. Schaeffer, A Regularity Theorem for Conservation Laws, Adv. in Math., Vol. 11, 1973, pp. 368-386. | MR | Zbl

[19] D. Serre, Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservatian, J. Diff. Eqs., Vol. 68, 1987, pp. 137-169. | MR | Zbl

[20] B. Temple, Systems of Conservation Laws with Invariant Submanifolds, Trans. Am. Math. Soc., Vol. 280, 1983, pp. 781-795. | MR | Zbl