Geodesic
The Cauchy problem for some classes of quasi-linear parabolic equations
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 295-300.

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Theorems are established concerning the solubility “in the large” of the Cauchy problem for quasi-linear parabolic second-order equations. 
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     author = {S. N. Kruzhkov},
     title = {The {Cauchy} problem for some classes of quasi-linear parabolic equations},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a5/}
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S. N. Kruzhkov. The Cauchy problem for some classes of quasi-linear parabolic equations. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 295-300. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a5/