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

2009/09/22 by Katsiaryna Krupchyk, Krupchyk, Katsiaryna, Matti Lassas +1
Computer Science · Engineering · Mathematics · #35J25 #58J45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0909.4001

openalex publication_date 2009/09/22 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Geometry, Topology and Physics
• An Introduction to Stochastic PDEs
• Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem
• A Global Uniqueness Theorem for an Inverse Boundary Value Problem
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

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