On stability of the solutions of inverse problem for determining the right-hand side of a degenerate parabolic equation with two independent variables

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Kamynin, V.L.^1 ; Bukharova, T.I.^1

National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow

115409, Russia^1

关键词: Degenerate parabolic equation;    Important features;    Independent variables;    Input datas;    Right-hand sides;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012050/pdf
DOI  :  10.1088/1742-6596/788/1/012050

来源: IOP

【 摘 要 】

We prove the estimates of stability with respect to perturbations of input data for the solutions of inverse problems for degenerate parabolic equations with unbounded coefficients. An important feature of these estimates is that the constants in these estimates are written out explicitly by the input data of the problem.