On one boundary value problem for a nonlinear heat equation in the case of two space variables
А. Л. Казаков, П. А. Кузнецов · Journal of Applied and Industrial Mathematics · 2014
The article addresses 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 of the existence and uniqueness of an analytic solution to the problem is proved.