The inverse problem of thermal conductivity in a region with a free boundary with degeneracy
1 (Department of Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
2 Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
Keywords:
Inverse problem, thermal conductivity
Abstract
We establish conditions for existence and uniqueness of a smooth solution to an inverse problem for the heat equation with an unknown time-dependent leading coefficient. The boundary of the domain is supposed unknown and degenerate at the initial moment.
Cite
- ACS Style
- Balik, K.; Ivanchov, M.I. The inverse problem of thermal conductivity in a region with a free boundary with degeneracy. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Balik K, Ivanchov MI. The inverse problem of thermal conductivity in a region with a free boundary with degeneracy. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Kateryna Balik, Mykola Ivanovych Ivanchov. 2017. "The inverse problem of thermal conductivity in a region with a free boundary with degeneracy". Bukovinian Mathematical Journal. 4 no. 3-4.
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