Geodesic
Processes with an arbitrary degree law dependence coefficient in an isotropic space with an arbitrary dimension (I)
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 57-64.

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The evaluation from above for the non-linear thermoconductivity equation’s exact solution is obtained for the case when temperature conductivity diffusion coefficient $(g)$ dependence on temperature (concentration $C$) is as follows: $g(C)=A C ^n$, where $(1\leq n\leq \infty, A=const).$ 
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Yu. N. Hayrapetyan. Processes with an arbitrary degree law dependence coefficient in an isotropic space with an arbitrary dimension (I). Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 57-64. http://geodesic.mathdoc.fr/item/UZERU_1989_3_a9/

[1] L. Kollatts, Funktsionalnyi analiz i vychislitelnaya matematika, Mir, M., 1969 | Zbl

[2] R. M. Redheffer, “Die Collatzsche Monotonie bei Anfangswerproblemen”, Arch. Rat. Mech. Anal., 14 (1963), 196–212 | DOI | Zbl

[3] V. N. Airapetyan, Yu. N. Airapetyan, “Otsenka resheniya nelineinogo uravneniya teploprovodnosti s koeffitsientom, lineino zavisyaschim ot temperatury”, Dokl. Akad. Nauk Arm. SSR, LXXVII:1 (1983), 40–44 | Zbl