This paper discusses some aspects of an inverse source problem for elliptic equations, with
observations on the boundary of the domain. The main application aimed at is the problem …

We consider the problem of identification of a heat source in a bounded domain Ω.
Assuming that the point sources became inactive after the time T∗, we prove that they can …

This paper proposes a method for reconstructing the positions, strengths, and number of
point sources in a three-dimensional (3D) Poisson field from boundary measurements …

We consider the inverse problems of locating pointwise or small size conductivity defaults in
a plane domain, from overdetermined boundary measurements of solutions to the Laplace …

This paper is concerned with an inverse point wave sources problem in a bounded domain
Ω⊂ Bbb R 3 from boundary observations. Assuming that all point sources vanish after a …

We present here a quantitative characterization of the non-uniqueness for the inverse
problem of electroencephalography (EEG). First, we identify the singular support of the …

We show that the inverse monopolar or dipolar source problem in a 3D ball from
overdetermined Dirichlet-Neumann data on the boundary sphere reduces to a family of 2D …

The inverse problem of recovering point sources represents an important class of applied
inverse problems. However, there is still a lack of neural network-based methods for point …

We consider the problem of locating point sources in the planar domain from
overdetermined boundary measurements of solutions of Poisson's equation. In this paper …

We consider the inverse problem of localizing dipolar sources in an ellipsoid from boundary
data, which we approach and constructively solve with techniques from harmonic and …