On the coefficient inverse problem of heat conduction in a degenerating domain

Abstract

In the paper we consider a coefficient inverse problem for the heat equation in a degenerating angular domain. It has been shown that the inverse problem for the homogeneous heat equation with homogeneous initial and boundary conditions has a nontrivial solution up to a constant factor consistent with the integral condition. Moreover, the solution of the considered inverse problem is found in explicit form. It was also proved that the found nontrivial solution is a bounded function for all t > 0.