Geodesic
On a~boundary value problem for a~nonlinear heat equation in the case of two space variables
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 46-54.

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The article deals with a boundary value problem with degeneration for a nonlinear heat equation in the case of two space variables. Solving this problem makes it possible to study heat conduction in a neighborhood of a closed cylindrical surface. The theorem is proved of the existence and uniqueness of an analytic solution to the problem.
Keywords: nonlinear heat equation, boundary value problem, analytic solution. 
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A. L. Kazakov; P. A. Kuznetsov. On a~boundary value problem for a~nonlinear heat equation in the case of two space variables. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 46-54. http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a5/

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