Geodesic
Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations
Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 581-586.

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We prove the existence of smooth solutions of the Cauchy problem for some second-order nonlinear parabolic equations subject to natural smoothness conditions on the right side of the equation and on the initial function. 
@article{MZM_1974_15_4_a8,
     author = {Yu. P. Gor'kov},
     title = {Nonlocal solvability of the {Cauchy} problem for second-order nonlinear parabolic equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {581--586},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a8/}
}
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Yu. P. Gor'kov. Nonlocal solvability of the Cauchy problem for second-order nonlinear parabolic equations. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 581-586. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a8/