Unique determination of the damping coefficient in the wave equation using point source and receiver data

被引：0
作者：
Vashisth, Manmohan [1 ]
机构：
[1] Indian Inst Technol Ropar, Dept Math, Rupnagar 140001, Punjab, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2025年 / 135卷 / 01期
关键词：
Inverse problems; wave equation; point source-receiver; damping coefficient; INVERSE PROBLEM;
D O I：
10.1007/s12044-025-00818-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, an inverse problem of determining the damping coefficient appearing in a wave equation is studied. We prove that the time-derivative perturbation of wave operator in three space dimension can be recovered uniquely from the data coming from a single coincident source-receiver pair. Since the problem under consideration is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.
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页数：10
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