Geodesic
Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1341-1354

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The sufficient conditions are found for the unsolvability or global solvability of the Cauchy problem for a class of quasilinear parabolic equations. Conditions are also obtained for localization (“in the large” or “in the small”) of solutions of the problem, and for the absence of localization in the large. 
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     author = {V. A. Galaktionov},
     title = {Conditions for global non-existence and localizations of solutions of the {Cauchy} problem for a class of non-linear parabolic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1341--1354},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a5/}
}
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V. A. Galaktionov. Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1341-1354. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a5/