The inversion (= reconstruction) scheme, called the dynamical probe method,
is applied to active thermography to identify unknown inclusions in an
heat conductor and their physical properties. We assume the physical
properties of the inclusions and heat conductor are isotropic and
homogeneous. The measured data for the active thermography are the so-called Neumann
to Dirichlet map. By defining some indicator function via the measured
data, the identification is done by looking at the behavior of the indicator
function. The underlying analysis is the short time asymptotic of
fundamental solution of the heat equation with discontinuous coefficients.
This journal presents original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published.