An inverse problem for a hyperbolic system on a vector bundle and energy measurements

TL;DR

This paper proves a uniqueness result for an inverse problem involving an inhomogeneous hyperbolic system on a vector bundle, using energy measurements to identify unknown sources on a compact manifold.

Contribution

It introduces a novel uniqueness theorem for inverse problems on hyperbolic systems with energy measurements on vector bundles.

Findings

Uniqueness of source recovery established

Applicable to inhomogeneous hyperbolic systems

Provides theoretical foundation for inverse energy measurement problems

Abstract

A uniqueness result in the inverse problem for an inhomogeneous hyperbolic system on a real vector bundle over a smooth compact manifold, based on energy measurements for improperly known sources, is established.