We review potential theoretic aspects of degenerate parabolic PDEs of p-Laplacian type.
Solutions form a similar basis for a nonlinear parabolic potential theory as the solutions of the heat
equation do in the classical theory. In the parabolic potential theory, the so-called superparabolic
functions are essential. For the ordinary heat equation we have supercaloric functions. They are defined
as lower semicontinuous functions obeying the comparison principle. The superparabolic
functions are of actual interest also because they are viscosity supersolutions of the equation. We discuss
their existence, structural, convergence and Sobolev space properties. We also consider the
definition and properties of the nonlinear parabolic capacity and show that the infinity set of a superparabolic
function is of zero capacity.