Geodesic
Renormalized entropy solutions of the Cauchy problem for a~first-order inhomogeneous quasilinear equation
Sbornik. Mathematics, Tome 204 (2013) no. 10, pp. 1480-1515

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The concept of a renormalized entropy solution of the Cauchy problem for an inhomogeneous quasilinear equation of the first order is introduced. Existence and uniqueness theorems are proved, together with a comparison principle. Connections with generalized entropy solutions are investigated. Bibliography: 10 titles.
Keywords: first-order quasilinear equations, generalized entropy solutions, comparison principle, renormalized solutions, existence and uniqueness. 
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     author = {E. Yu. Panov},
     title = {Renormalized entropy solutions of the {Cauchy} problem for a~first-order inhomogeneous quasilinear equation},
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E. Yu. Panov. Renormalized entropy solutions of the Cauchy problem for a~first-order inhomogeneous quasilinear equation. Sbornik. Mathematics, Tome 204 (2013) no. 10, pp. 1480-1515. http://geodesic.mathdoc.fr/item/SM_2013_204_10_a2/