COEFFICIENT INVERSE PROBLEM FOR THE DEGENERATE PARABOLIC EQUATION

被引:2
|
作者
Huzyk, Nadha [1 ]
机构
[1] 32 Herous Maidan St, UA-79026 Lvov, Ukraine
来源
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2021年 / 13卷 / 03期
关键词
Coefficient inverse problem; parabolic equation; weak power degeneration; IDENTIFICATION;
D O I
10.7153/dea-2021-13-14
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The inverse problem for the degenerate parabolic equation is considered. The minor coefficient of the equation is a polynomial of the first power with respect to the space variable with unknown time-dependent coefficients. The conditions of local in time existence and global uniqueness of the classical solution to this problem are established. The case of weak power degeneration is investigated.
引用
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页码:243 / 255
页数:13
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