A locally contractive metric for systems of conservation laws
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 1, pp. 109-135. 
@article{ASNSP_1995_4_22_1_109_0,
     author = {Bressan, Alberto},
     title = {A locally contractive metric for systems of conservation laws},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {109--135},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 22},
     number = {1},
     year = {1995},
     mrnumber = {1315352},
     zbl = {0867.35060},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1995_4_22_1_109_0/}
}
TY  - JOUR
AU  - Bressan, Alberto
TI  - A locally contractive metric for systems of conservation laws
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1995
SP  - 109
EP  - 135
VL  - 22
IS  - 1
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1995_4_22_1_109_0/
LA  - en
ID  - ASNSP_1995_4_22_1_109_0
ER  - 
%0 Journal Article
%A Bressan, Alberto
%T A locally contractive metric for systems of conservation laws
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1995
%P 109-135
%V 22
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1995_4_22_1_109_0/
%G en
%F ASNSP_1995_4_22_1_109_0
Bressan, Alberto. A locally contractive metric for systems of conservation laws. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 1, pp. 109-135. http://archive.numdam.org/item/ASNSP_1995_4_22_1_109_0/

[1] A. Bressan, Contractive metrics for nonlinear hyperbolic systems. Indiana Univ. Math. J. 37 (1988), 409-421. | MR | Zbl

[2] A. Bressan, A contractive metric for systems of conservation laws with coinciding shock and rarefaction waves. J. Differential Equations 106 (1993), 332-366. | MR | Zbl

[3] A. Bressan - A. Marson, A variational calculus for discontinuous solutions of systems of conservation laws. Preprint S.I.S.S.A., 1993.

[4] A. Bressan - G. Colombo, Existence and continuous dependence for discontinuous O.D.E's. Boll. Un. Mat. Ital. 4-B (1990), 295-311. | MR | Zbl

[5] A. Bressan - R.M. Colombo, The semigroup generated by 2 X 2 conservation laws. Arch. Rational Mech. Anal., submitted. | Zbl

[6] R. Diperna, Uniqueness of solutions to hyperbolic conservation laws. Indiana Univ. Math. J. 28 (1979), 137-188. | MR | Zbl

[7] J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations. Comm. Pure Appl. Math. 18 (1965), 697-715. | MR | Zbl

[8] P. Lax, Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math. 10 (1957), 537-566. | MR | Zbl

[9] T.P. Liu, Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation laws. J. Differential Equations 20 (1976), 369-388. | MR | Zbl

[10] T.P. Liu, Nonlinear stability of shock waves for viscous conservation laws. Mem. Amer. Math. Soc. 328 (1985). | MR | Zbl

[11] V.J. Ljapidevskii, On correctness classes for nonlinear hyperbolic systems. Soviet Math. Dokl. 16 (1975), 1505-1509. | MR | Zbl

[12] O. Oleinik, Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation. Amer. Math. Soc. Transl. Ser. 2, 33 (1963), 285-290. | Zbl

[13] G. Pimbley, A semigroup for Lagrangian 1D isentropic flow. In "Transport theory, invariant imbedding and integral equations", G. Webb ed., M. Dekker, New York, 1989. | MR | Zbl

[14] M. Schatzman, Continuous Glimm functionals and uniqueness of solutions of the Riemann problem. Indiana Univ. Math. J. 34 (1985), 533-589. | MR | Zbl

[15] J. Smoller, Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, New York, 1983. | MR | Zbl

[16] A. Szepessy - Z.P. Xin, Nonlinear stability of viscous shock waves. Arch. Rational Mech. Anal. 122 (1993), 53-103. | MR | Zbl

[17] B. Temple, No L1-contractive metrics for systems of conservation laws. Trans. Amer. Math. Soc. 288 (1985), 471-480. | MR | Zbl