|   [1] Amadori D, Guerra G. Global weak solutions for systems of balance laws. Appl Math Lett, 1999, 12(6): 
123–127 
 
[2] Ambrosio L, DeLellis C. A note on admissible solutions of 1 scalar conservation laws and 2 Hamilton-D D 
Jacobi equations. J Hyperbolic Di?er Equ, 2004, 1(4): 813–826 
 
[3] Baiti P, Bressan A. Lower semicontinuity of weighted path length in BV//Colombini F, Lerner N, eds. 
Geometrical Optics and Related Topics. Birkh¨auser, 1997: 31–58 
 
[4] Baiti P, LeFloch P G, Piccoli B. Existence theory for nonclassical entropy solutions: scalar conservation 
laws. Z Angew Math Phys, 2004, 55(6): 927–945 
 
[5] Bianchini S, Bressan A. Vanishing viscosity solutions of nonlinear hyperbolic systems. Ann Math, 2005, 161(1): 223-342 
 
[6] Bianchini S, Caravenna L. SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conser-vation laws in one space dimension. Preprint. 
 
[7] Bressan A. Hyperbolic Systems of Conservation Laws: The One-dimensional Cauchy Problem. Oxford 
Univ Press, 2000 
 
[8] Bressan A, Yang T. A sharp decay estimate for positive nonlinear waves. SIAM J Math Anal, 2004, 36(2): 659–677 
 
[9] Bressan A, Yang T. On the convergence rate of vanishing viscosity approximations. Comm Pure Appl Math, 2004, 57: 1075–1109 
 
[10] Bressan A, Colombo R. Decay of positive waves in nonlinear systems of conservation laws. Ann Scuola 
Norm Sup Pisa, 1998, 26: 133–160 
 
[11] Bressan A, LeFloch P G. Uniqueness of entropy solutions for systems of conservation laws. Arch Rational 
Mech Anal, 1999, 140: 301–331 
 
[12] Bressan A, LeFloch P G. Structural stability and regularity of entropy solutions to systems of conservation 
laws. Indiana Univ Math J, 1999, 48: 43–84 
 
[13] Christoforou C. Hyperbolic systems of balance laws via vanishing viscosity. J Differ Equ, 2006, 221(2): 
470–541 
 
[14] Christoforou C. Uniqueness and sharp estimates on solutions to hyperbolic systems with dissipative source. Commun Partial Di?er Equations, 2006, 31(12): 1825–1839 
 
[15] Christoforou C, Trivisa K. Sharp decay estimates for hyperbolic balance laws. J Differ Equ, 2009, 247(2): 
401–423 
 
[16] Christoforou C, Trivisa K. On the convergence rate for vanishing viscosity approximations to hyperbolic 
balance laws. SIAM J Math Anal, 2011, 43(5): 2307–2336 
 
[17] Dafermos C M. Hyperbolic Conservation Laws in Continuum Physics. Grundlehren Math Wissenschaften 
Series 325. Springer Verlag, 2010 
 
[18] Dafermos C M. Hyperbolic systems of balance laws with weak dissipation. J Hyp Di? Equ, 2006, 3(3): 
505–527 
 
[19] Dafermos C M, Hsiao L. Hyperbolic systems of balance laws with inhomogeneity and dissipation. Indiana 
Univ Math J, 1982, 31: 471–491 
[20] De Lellis C, Otto F, Westdickenberg M. Structure of entropy solutions for multi-dimensional scalar con- 
servation laws. Arch Ration Mech Anal, 2003, 170(2): 137184 
 
[21] Federer H. Geometric Measure Theory. New York: Springer-Verlag, 1969 
 
[22] Filippov A F. Differential Equations with Discontinuous Right-Hand Sides. Dordrecht: Kluwer, 1988 
 
[23] Glimm J. Solutions in the large for nonlinear hyperbolic systems of equations. Comm Pure Appl Math, 
1965, 4: 697–715 
 
[24] Glimm J, Lax P D. Decay of solutions to nonlinear hyperbolic conservation laws. Mem Amer Math Soc, 
1971, 101 
 
[25] Goatin P, LeFloch P G. Sharp continuous dependence of solutions of bounded variation for hyperbolicL 
systems of conservation laws. Arch Rational Mech Anal, 2001, 157: 35–73 
 
[26] Goodman J, Xin Z. Viscous limits for piecewise smooth solutions to systems of conservation laws. Arch 
Ration Mech Anal, 1992, 121: 235–265 
 
[27] Hoff D. The sharp form of Oleinik’s entropy condition in several space variables. Trans Amer Math Soc, 
1983, 276: 707–714 
[28] Iguchi T, LeFloch P. Existence theory for hyperbolic systems of conservation laws with general flux- 
functions. Arch Rational Mech Anal, 2003, 168: 165–244 
 
[29] Kuznetsov N N. Accuracy of some approximate methods for computing the weak solutions of a first-order 
quasi-linear equation. U S S R Comp Math Math Phys, 1976, 16: 105–119 
 
[30] Lax P D. The formation and decay of shock waves. Amer Math Monthly, 1972, 79: 227–241 
 
[31] Lax P D. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves. Re- 
gional Conf Series in Appl Math 11. Philadelphia: SIAM, 1973 
 
[32] LeFloch P G. Hyperbolic Systems of Conservation Laws: the Theory of Classical and Nonclassical Shock 
Waves. Lecture Notes in Mathematics, ETH Z¨urich. Birkh¨auser, 2002 
 
[33] LeFloch P, Trivisa K. Continuous glimm type functionals and spreading of rarefaction waves for hyperbolic 
systems with general flux. Commun Math Sci, 2004, 2: 231–236 
 
[34] De Lellis C, Rivi`ere T. The rectifiability of entropy measures in one space dimension. J Math Pures Appl, 
2003, 82: 1343–1367 
 
[35] Liu T -P. Admissible solutions of hyperbolic conservation laws. Mem Amer Math Soc, 1981, 30 
 
[36] Liu T -P. Nonlinear stability and instability of transonic flows through a nozzle. Comm Math Phys, 1982, 83(2): 243–260 
 
[37] Oleinik O. Discontinuous solutions of nonlinear di?erential equations. Amer Math Soc Transl Ser, 1963, 26: 95–172 
 
[38] Schatzman M.Continuous Glimmfunctionals and uniqueness ofsolutions ofthe Riemannproblem. Indiana 
Univ Math J, 1984, 34: 533–589 
 
[39] Serre D. Systems of Conservation Laws, I, II. Cambridge: Cambridge University Press, 1999 
 
[40] Tadmor E. Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. SIAM J 
Numer Anal, 1991, 28(4): 891–906 
 
[41] Trivisa K. A priori estimates in hyperbolic systems of conservation laws via generalized characteristics. 
Comm Partial Diff Equ, 1997, 22: 235–267 
 
[42] Volpert A I. The space of BV and quasilinear equations. Math USSR Sb, 1967, 2: 257–267  |