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

2019/06/21 by Manmohan Vashisth, Vashisth, Manmohan
Earth and Planetary Sciences · Mathematics · Medicine · #35L05 #35L10 #35R30 #74J25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.1906.08987

openalex publication_date 2019/06/21 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this article, we consider the inverse problems of determining the damping coefficient appearing in the wave equation. We prove the unique determination of the coefficient from the data coming from a single coincident source-receiver pair. Since our problem is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.

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