Work

Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds

Year: 2025

Type: article

Abstract: We study an inverse problem of determining a time-dependent potential appearing in the wave equation on conformally transversally anisotropic manifolds of dimension three or higher. These are compact Riemannian manifolds with boundary that are conformally embedded in a product of the real line and a transversal manifold. Under the assumption of the attenuated geodesic ray transform being injective on the transversal manifold, we prove the unique determination of time-dependent potentials from the knowledge of a certain partial Cauchy data set.

Source: Journal of Spectral Theory

DOI: 10.4171/jst/547

Authors: Boya Liu, Teemu Saksala, Lili Yan

Institutions: North Carolina State University, North Dakota State University, University of Minnesota

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408217104

FWCI: 1.636

Cites:

Cited by: 1

Related to: 10