Cofine boundary behaviour of temperatures (Q1199188)

The author studies the behavior of generalized solutions to the Dirichlet problem for the heat equation near irregular points that are also cofine boundary points, that is, boundary points in the fine topology for the adjoint heat equation. The author shows that cofine limits exist and coincide with the values of the given boundary data at many such points, and characterize the points where this occurs in terms of both barriers and zero limits of the Green function.