The steady Green's function represents the response at point
caused
by a point source of heat located at
.
The GF associated with equation (1) satisfies the following equations:

(3) | |||

Note that the boundary conditions are homogeneous and of the same type as the temperature problem, Eq. (1). The volume energy generation is replaced by point heat source described by a Dirac delta function, . Most of the quantities in this discussion have units: ; ; and, for steady heat conduction in the cylinder.

Frank Pribyl 2005-06-07