  This article is devoted to the simultaneous resolution of three inverse
problems, among the most important formulation of inverse problems for partial
differential equations, stated for some class of diffusion equations from a
single boundary measurement. Namely, we consider the simultaneous unique
determination of several class of coefficients, some internal sources (a source
term and an initial condition) and an obstacle appearing in a diffusion
equation from a single boundary measurement. Our problem can be formulated as
the simultaneous determination of information about a diffusion process
(velocity field, density of the medium), an obstacle and of the source of
diffusion. We consider this problems in the context of a classical diffusion
process described by a convection-diffusion equation as well as an anomalous
diffusion phenomena described by a time fractional diffusion equation.
