Decay of positive waves in nonlinear systems of conservation laws
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 1, pp. 133-160.
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     author = {Bressan, Alberto and Colombo, Rinaldo M.},
     title = {Decay of positive waves in nonlinear systems of conservation laws},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {133--160},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {1},
     year = {1998},
     mrnumber = {1632980},
     zbl = {0906.35059},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_1_133_0/}
}
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Bressan, Alberto; Colombo, Rinaldo M. Decay of positive waves in nonlinear systems of conservation laws. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 1, pp. 133-160. http://www.numdam.org/item/ASNSP_1998_4_26_1_133_0/

[1] P. Baiti - A. Bressan, Lower Semicontinuity of Weighted Path Length in BV, In "Geometrical Optics and Related Topics", F. Colombini and N. Lerner (eds.), Birkäuser, 1997. | MR | Zbl

[2] A. Bressan, Global solutions to systems of conservation laws by wave-front tracking, J. Math. Anal. Appl. 170 (1992), 414-432. | MR | Zbl

[3] A. Bressan, "Lecture Notes on Systems of Conservation Laws", S.I.S.S.A., Trieste, 1995.

[4] A. Bressan, The unique limit of the Glimm scheme, Arch. Rational Mech. Anal. 130 (1995), 205-230. | MR | Zbl

[5] A. Bressan, The semigroup approach to systems of conservation laws, Mathematica Contemporanea 10 (1996), 21-74. | MR | Zbl

[6] A. Bressan - R.M. Colombo, The semigroup generated by 2 x 2 conservation laws, Arch. Rational Mech. Anal. 133 (1995), 1-75. | MR | Zbl

[7] A. Bressan - R.M. Colombo, Unique solutions of 2 x 2 conservation laws with large data, Indiana Univ. Math. J. 44 (1995), 677-725. | MR | Zbl

[8] A. Bressan - G. Crasta - B. Piccoli, Well posedness of the Cauchy Problem for n x n systems of conservation laws, preprint S.I.S.S.A., Trieste, 1996.

[9] C.M. Dafermos, Generalized characteristics in hyperbolic systems of conservation laws, Arch. Rational Mech. Anal. 107 (1989),127-155. | Zbl

[10] A.F. Filippov, "Differential Equations with Discontinuous Righthand Sides", Kluwer Academic Publisher, Dordrecht, 1988. | Zbl

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

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

[13] O. Oleinik, Discontinuous solutions of nonlinear differential equations, Usp. Mat. Nauk. 12 (1957), 3-73; English translation: Amer. Math. Soc. Transl. 26 (1963), 95-172. | Zbl

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

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

[16] B. Temple, Systems of conservation laws with invariant submanifolds, Trans. Amer.Math. Soc. 280 (1983), 781-795. | Zbl