# An inverse problem for the wave equation with source and receiver at   distinct points

**Authors:** Manmohan Vashisth

arXiv: 1706.00681 · 2019-06-24

## TL;DR

This paper addresses the inverse problem of identifying the density coefficient in the wave equation using data from a point source and receiver at different locations, establishing conditions for unique recovery.

## Contribution

It provides new uniqueness results for the inverse wave problem with separated source and receiver data under specific assumptions.

## Key findings

- Proved uniqueness of the density coefficient under certain conditions
- Established theoretical foundations for inverse wave problems with separated data
- Contributed to the mathematical understanding of inverse problems in wave equations

## Abstract

We consider the inverse problem of determining the density coefficient appearing in the wave equation from separated point source and point receiver data. Under some assumptions on the coefficients, we prove uniqueness results.

## Full text

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## References

26 references — full list in the complete paper: https://tomesphere.com/paper/1706.00681/full.md

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Source: https://tomesphere.com/paper/1706.00681