It is well known that the parabolic partial differential equations in two or more space dimensions with overspecified boundary data, feature in the mathematical modeling of many phenomena. In this article, an inverse problem of determining an unknown time-dependent source term of a parabolic equation in general dimensions is considered. Employing some transformations, we change the inverse prob...

in this paper, two inverse problems of stephen kind with local (dirichlet) boundary conditions are investigated. in the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. for the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and bounda...

The problem introduced in this paper (denoted IMFW∞) is to modify the capacities on arcs from a network so that a given feasible flow becomes a maximum flow and the maximum cost of change of the capacities is minimum. This problem is a generalization of the inverse maximum flow problem under l∞ norm (denoted IMF∞, where the per unit cost of modification is equal to 1 on all arcs), which was pri...