Geodesic
On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 317-332

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In terms of a distribution function we give kinetic interpretation of a measure valued solution to Cauchy problem for a first order quasilinear equation. The known results concerning generalized solutions (in the class $L^\infty$) of the considered problem are thus generalized. Besides we describe “kinetic” solutions corresponding to strong measure valued solutions (which form a class of existence and uniqueness for original problem). 
@article{FPM_1998_4_1_a21,
     author = {E. Yu. Panov},
     title = {On kinetic interpretation of measure valued solutions to {Cauchy} problem for a first order quasilinear equation},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {317--332},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/}
}
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E. Yu. Panov. On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 317-332. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/