Asymptotic Behavior of Solutions of Inverse Problems for Degenerate Parabolic Equations
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We obtain theorems on the proximity as t → +∞ between the solution of the inverse problem for a second-order degenerate parabolic equation with one spatial variable and the solution of the inverse problem for a second-order degenerate ordinary differential equation under an additional integral observation condition. The conditions imposed on the input data admit oscillations of the functions on the right-hand side in the parabolic equation under study.
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- 8.Kamynin, V.L., On the solvability of the inverse problem for a degenerate parabolic equation with integral observation, Theses Intern. Sci. Seminar in Inverse and Ill-Posed Problems (Moscow, November 19–21, 2015), Moscow, 2015, pp. 90–91.Google Scholar