Geodesic
Transfer processes with an arbitrary degree law dependent coefficient in an isotropic space of arbitrary dimension. II
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1990), pp. 50-55.

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In the paper it is shown that when the temperature-conductivity (diffusion coefficient dependence on temperature (concentration) $C$ provides the parabolic operator monotony and besides that vanishes simultaneously with the temperature (concentration) (e. g. $g(c)=Ac^n, 1\leq n\infty$), then there exists a region for each moment of time, in which the exact solution vanishes, i. e. the heat (substance) propagates with a finite speed. 
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Yu. N. Hayrapetyan. Transfer processes with an arbitrary degree law dependent coefficient in an isotropic space of arbitrary dimension. II. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1990), pp. 50-55. http://geodesic.mathdoc.fr/item/UZERU_1990_1_a7/

[1] Yu. N. Airapetyan, “Protsessy perenosa s koeffitsientom, menyayuschimsya po proizvolnomu stepennomu zakonu v izotropnom prostranstve proizvolnoi razmernosti. I”, Uchen. zap. Erevansk. un-ta, 1989, no. 3