Inverse problem for the strongly degenerate heat equation in a domain with free boundary

  • N. I. Ivanchov
  • N. M. Hryntsiv Львiв. нац. ун-т iм. I. Франка

Abstract

In a domain with free boundary, we establish conditions for the existence and uniqueness of a solution of the inverse problem of finding the time-dependent coefficient of heat conductivity. We study the case of strong degeneration where the unknown coefficient tends to zero as $t → +0$ as a power function $t^{β}$, where $β ≥ 1$.
Published
25.01.2009
How to Cite
IvanchovN. I., and HryntsivN. M. “Inverse Problem for the Strongly Degenerate Heat Equation in a Domain With Free Boundary”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 1, Jan. 2009, pp. 28-43, https://umj.imath.kiev.ua/index.php/umj/article/view/2998.
Section
Research articles