退化抛物方程的系数反问题

Differential Equations and Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-14

N. Huzyk

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引用次数: 1

摘要

．研究了一类退化抛物型方程的反问题。该方程的次系数是对具有未知时变系数的空间变量的1次多项式。建立了该问题经典解的局部时间存在性和全局唯一性条件。研究了弱功率退化的情况。

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Coefficient inverse problem for the degenerate parabolic equation

. The inverse problem for the degenerate parabolic equation is considered. The minor coef ﬁ cient of the equation is a polynomial of the ﬁ rst power with respect to the space variable with unknown time-dependent coef ﬁ cients. 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.

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来源期刊

Differential Equations and Applications

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