2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115479In this paper we consider an inverse problem for determining time - dependent heat conduction coefficient which vanishes at initial moment as a power $ t^β. $ The case of strong degeneration ($ β\ge1$) is studied. To prove the existence of solution we employ the Schauder fixed point theorem. The uniqueness of the solution is established too.12 pagesAnalysis of PDEsMathematical Physics35R30, 35K65text