Determination of the Lower Coefficient in a Parabolic Equation with Strong Power Degeneration

We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification of the time-dependent lowest coefficient of the first derivative in a one-dimensional degenerate parabolic equation. The Dirichlet boundary conditions and the integral conditio...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2016-12, Vol.68 (7), p.1049-1061
Main Author: Huzyk, N. M.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Boundary conditions
Degeneration
Derivatives
Geometry
Integrals
Inverse problems
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We establish conditions for the existence and uniqueness of the classical solution to the inverse problem of identification of the time-dependent lowest coefficient of 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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1276-4