Geodesic
Stability of the solutions of the Cauchy problem for first-order quasilinear equations
Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 79-89.

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In this paper we establish estimates of the stability of the solutions of the Cauchy problem for the multidimensional quasilinear equation $u_t+(\varphi _i(u))_{x_i }=\psi(t,x,u)$ relative to variation of the function $\varphi_i(u)$,$\psi(t,x,u)$. 
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     author = {P. A. Andreianov},
     title = {Stability of the solutions of the {Cauchy} problem for first-order quasilinear equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {79--89},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/}
}
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P. A. Andreianov. Stability of the solutions of the Cauchy problem for first-order quasilinear equations. Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 79-89. http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a9/