Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide

2016/12/23 by Yavar Kian, Kian, Yavar, Diomba Sambou +3
Engineering · Mathematics · #35K05 #35R30 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · doi:10.48550/arxiv.1612.07942

openalex publication_date 2016/12/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data.

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