An Inverse Problem for the Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term

In this paper we prove uniqueness in the inverse boundary value problem for three coefficient functions porous medium equation with an absorption term , space dimension 2 or higher. This is a degenerate parabolic type quasilinear PDE which has been used as model phenomena fields such gas flow (through medium), plasma physics, and population dynamics. case when priori, unique identifiability data supported arbitrarily small part of boundary. Even global improve on previous work by obtaining finite (rather than infinite) time observation also introducing additional .