2017
Том 69
№ 9

All Issues

Determination of the lower coefficient in a parabolic equation with strong power degeneration

Huzyk N. M.


Abstract

We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification of the time-dependent coefficient at the first derivative in a one-dimensional degenerate parabolic equation. The Dirichlet boundary conditions and the integral condition of overdetermination are imposed. We study the case of strong power degeneration.

Citation Example: Huzyk N. M. Determination of the lower coefficient in a parabolic equation with strong power degeneration // Ukr. Mat. Zh. - 2016. - 68, № 6. - pp. 922-932.