Fast and accurate identification of unknown pollution sources is a crucial and challenging
task in water resources management, in which the characteristics of unknown pollution …

Inverse problems and Carleman estimates Page 1 Inverse Problems Inverse problems and
Carleman estimates To cite this article: MV Klibanov 1992 Inverse Problems 8 575 View the …

The identification of an unknown state-dependent source term in a reaction-diffusion
equation is considered. Integral identities are derived which relate changes in the source …

We consider the problem of identification of a pollution source in a river. The mathematical
model is a one-dimensional linear advection–dispersion–reaction equation with the right …

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 …

An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …

In this paper, we consider a reaction–diffusion problem with an unknown nonlinear source
function that has to be determined from overposed data. The underlying model is in the form …

This paper considers the inverse problem of recovering state-dependent source terms in a
reaction–diffusion system from overposed data consisting of the values of the state variables …

This paper seeks to determine an unknown forcing function f (u) that depends only on the
temperature u (x, t 1, in a reaction-diffusion equation. Such problems arise in a variety of …

Reaction–diffusion equations are one of the most common partial differential equations used
to model physical phenomena. They arise as the combination of two physical processes: a …