[1] Bardi M, Evans L C. On Hopf’s formulas for solutions of Hamilton–Jacobi equations. Nonlinear Anal
Theory Methods & Applications, 1984, 8: 1373–1381

[2] Chen S, Zhang Z. Formation of shock for first order quasilinear equations. Acta Sci Nat Univ Fudan, 1963,
8: 13–22 (in Chinese)

[3] Dafermos C M. Characteristics in hyperbolic conservation laws//Knops R J, ed. Nonlinear Analysis and
Mechanics, Heriot-Watt Symposium, Vol 1. London: Pitman, 1977: 1–58

[4] Dafermos C M. Generalized characteristics and the structure of solutions of hyperbolic conservation laws.
Indiana Univ Math J, 1977, 26: 1097–1119

[5] Dafermos C M. Regularity and large time behavior of solutions of a conservation law without convexity.
Proc Royal Soc Edinburgh, 1985, 99K: 201–239

[6] Goodman J, Xin Z. Viscous limits for piecewise smooth solutions to systems of conservation laws. Arch
Rational Mech Anal, 1992, 121: 235–265

[7] Hopf E. Generalized solutions of nonlinear equations of first order. J Math Mech, 1965, 14: 951–973

[8] Kruzhkov S N, Petroyan N S. Aymptotic behaviorof solutionsof Cuachy problemfor first order nonlinear
equations. Uspekhi Mat Mauk, 1987, 42: 3–40 (in Russian)

[9] Lax P D. Hyperbolic systems of conservation laws II. Comm Pure Appl Math, 1957, 10: 537–566

[10] Li B, Wang J. The global qualitative study of solutions to a conservation law (I). Sci Special Math Issue,
1979, 12–24 (in Chinese)

[11] Li B, Wang J. The global qualitative study of solutions to a conservation law (II). Sci Special Math Issue,
1979: 25–38 (in Chinese)

[12] Liu T -P. Admissible solutions of hyperbolic conservation laws. Mem Amer Math Soc, 1981, 240

[13] Oleinik O K. Discontinuous solutions of nonlinear differential equations. Amer Math Soc Transl, Vol 26.
Providence: Amer Math Soc, 1963: 95–172

[14] Schaeffer D G. K regularity theorem for conservation laws. Adv Math, 1973, 11: 368–386

[15] Tadmor E, Tassa T. On the piecewise smoothness of entropy solutions to scalar conservation laws. Commun in PDEs, 1993, 18: 1631–1652

[16] Tadmor E, Tang T. Pointwise convergence rate for scalar conservation laws with piecewise smooth solutions. SIAM J Numer Anal, 1999, 36: 1739–1758

[17] Tadmor E, Tang T. Pointwise error estimates for relaxation approximations to conservation laws. SIAM
J Math Anal, 2001, 32: 870–886

[18] Tang T, Teng Z -H. Viscosity methods for piecewise smooth solutions to scalar conservation laws. Math
Comp, 1997, 66: 495–526

[19] Tang T, Teng Z -H, Xin Z -P. Fractional rate of convergence for viscous approximation to nonconvex
conservation laws. SIAM J Math Anal, 2003, 35: 98–122

[20] Tang T, Wang J, Zhao Y. On the piecewise smoothness of entropy solutions to scalar conservation laws
for larger class of initial data. J Hyperbolic Differ Equ, 2007, 4: 369–389