Driven by the advancement of industrial mathematics and the need for impact case studies,
Inverse Problems with Applications in Science and Engineering thoroughly examines the …

Multiple time-dependent coefficient identification thermal problems with an unknown free
boundary are investigated. The difficulty in solving such inverse and ill-posed free boundary …

In this paper, we consider the inverse problem of simultaneous determination of time-
dependent leading coefficient (thermal diffusivity) and free boundary in the one-dimensional …

We consider an inverse problem for an integro-differential parabolic equation with free
boundary. This inverse problem aims to identify the memory kernel function from a global …

An inverse boundary-value problem for the pseudoparabolic equation of the third-order with
integral condition is considered. First, the initial problem is reduced to an equivalent (in a …

In a domain with free boundary, we consider the inverse problem of determination of a time-
dependent coefficient of the first derivative of the unknown function in a parabolic equation …

The multifaceted process of gas absorption and diffusion of dissolved gases has several
useful applications in engineering, medicine, pharmaceutics, and science. A new systematic …

COEFFICIENT INVERSE PROBLEM FOR A PARABOLIC EQUATION IN A DOMAIN WITH
FREE BOUNDARY Page 1 Journal of Mathematical Sciences, Vol. 167, No. 1, 2010 …

In the paper, an inverse boundary value problem for a second order elliptic equation is
investigated. At first the initial problem is reduced to the equivalent problem for which the …

The present paper deals with the inverse problem of determination of the coefficient of the
first derivative of the unknown function with respect to a spatial variable for a one …