Nonlocal Inverse Problem for a Parabolic Equation with Degeneration

We establish conditions for the existence and uniqueness of a classical solution of the inverse problem of determination of the time-dependent coefficient of the higher-order derivative in a parabolic equation with degeneration in the coefficient of the time derivative. We impose boundary conditions...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2013-11, Vol.65 (6), p.847-863
Main Author: Huzyk, N. M.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Summary:We establish conditions for the existence and uniqueness of a classical solution of the inverse problem of determination of the time-dependent coefficient of the higher-order derivative in a parabolic equation with degeneration in the coefficient of the time derivative. We impose boundary conditions of the second kind and a nonlocal overdetermination condition. The case of weak degeneration is investigated.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0822-6