%0 Journal Article
%T Third Boundary-Value Problem of the Heat Conduction Equation for a System with Plane-Parallel Boundaries
%A A. S. Usenko
%J Physics
%D 2001
%I arXiv
%X We obtained a new representation of a solution of the heat conduction equation with boundary condition of the third kind for a layer. The result is presented as a superposition of fundamental solutions for an unbounded system with variable coefficients, the explicit form of which is given. We consider the well-known problem of the evolution of the temperature field initially uniformly distributed in a layer. The distribution of the temperature field is represented in terms of the obtained functions.
%U http://arxiv.org/abs/math-ph/0102021v1