Local Hölder stabilities for inverse problems of first-order hyperbolic equations

2022/07/21 by Giuseppe Floridia, Hiroshi Takase, Floridia, Giuseppe +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2207.10344

openalex publication_date 2022/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we consider a Cauchy problem for a first-order hyperbolic equation with time-dependent coefficients. Cauchy data are given on a lateral subboundary and we obtain local Hölder stabilities for inverse source and coefficient problems via a Carleman estimate.

Related

• A Hölder Stability Estimate for a 3D Coefficient Inverse Problem for a Hyperbolic Equation With a Plane Wave
• Inverse source problem for a hyperbolic equation by Carleman estimates
• Stability Estimates for Some Parabolic Inverse Problems With the Final Overdetermination via a New Carleman Estimate
• Stability for a formally determined inverse problem for a hyperbolic PDE with space and time dependent coefficients
• Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate