An inverse problem for strongly degenerate heat equation
  In this paper we consider an inverse problem for determining time - dependent heat conduction coefficient which vanishes at initial moment as a power $ t^{\beta}. $ The case of strong degeneration ($ \beta \ge1$) is studied.   To prove the existence of solution we employ the Schauder fixed point theorem. The uniqueness of the solution is established too. 
Nataliya Saldina