具有点源的波动方程系数逆问题的持子稳定性估计

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI:10.32523/2306-6172-2022-10-2-11-25

M. Klibanov, V. Romanov

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引用次数: 1

摘要

我们考虑了具有反向散射非超定数据的类波动方程的三维系数反问题。正演问题是Cauchy问题，其初始条件为集中在点源的单个位置的delta函数。我们将原问题简化为一个关于三个空间变量中的两个空间变量的有限差分问题，并研究了它的一个逆问题。

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A HOLDER STABILITY ESTIMATE FOR A COEFFICIENT ̈ INVERSE PROBLEM FOR THE WAVE EQUATION WITH A POINT SOURCE

We consider a 3D coefficient inverse problem for the wave-like equation with backscattering non-overdetermined data. The forward problem is the Cauchy problem with the initial condition as the delta-function concentrated at a single location of the point source. We reduce the original problem to a problem with finite differences with respect to two out of three spatial variables and study an inverse problem for it. A stability estimate is stated for this reduced inverse problem.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.