In this paper we consider an inverse problem for determining time-dependent heat conduction coefficient which vanishes at initial moment as a power tβ. The case of strong degeneration (β ≥ 1) is studied. To prove the existence of solution we employ the Schauder fixed point theorem. The uniqueness of the solution is established too.
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An inverse problem for strongly degenerate heat equation
M. Ivanchov∗ / N. Saldina
∗Department of Mechanics and Mathematics, Lviv National University, 79602 Lviv, Ukraine. E-mail: ivanchov@franko.lviv.ua
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 5, Pages 465–480, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406778247598,
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