The retrospective inverse problem for evolution equations is formulated as the
reconstruction of unknown initial data by a given solution at the final time. We consider the …

We are concerned with an inverse problem of simultaneously recovering the initial value
and source strength in a transmission problem for a parabolic equation from extra …

The ladle's refractory lining, directly exposed to molten steel, is susceptible to corrosion
which could cause an abnormal increase in ladle temperature and pose potential safety …

We consider the inverse problem of reconstructing the boundary curve of a cavity embedded
in a bounded domain. The problem is formulated in two dimensions for the wave equation …

In this paper, the inverse problem for the boundary value of the heat equation is posed and
solved. It is well known that this problem classified as an ill-posed problem. The boundary …

We consider the inverse problem of reconstructing the interior boundary curve of a doubly
connected bounded domain from the knowledge of the temperature and the thermal flux on …

A novel domain propulsion and adaptive modified inversion method based on the least
square error method and the precise integration finite element method is firstly proposed to …

In this paper, we develop a factorization method to reconstruct cavities in a heat conductor
by knowing the Neumann-to-Dirichlet map at the boundary of this conductor. The …

Consider the direct and inverse electromagnetic scattering problems by a penetrable
cylindrical chiral medium in a homogeneous achiral background medium. The scattering …

Consider the shape identification of an inclusion in heat conductive medium from the time
average measurement, which is modeled by an initial boundary value problem for a …