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arXiv · 1904.11551

Conditional stability for an inverse source problem and an application to the estimation of air dose rate radioactive substances by drone data

Y. Chen·J. Cheng·G. Floridia·Y. Wada·M. Yamamoto
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Abstract

We consider the density field $f(x)$ generated by a volume source $μ(y)$ in $D$ which is a domain in $\R^3$. For two disjoint segments $γ, Γ_1$ on a straight line in $\R^3 \setminus \ooo{D}$, we establish a conditional stability estimate of Hölder type in determining $f$ on $Γ_1$ by data $f$ on $γ$. This is a theoretical background for real-use solutions for the determination of air dose rates of radioactive substance at the human height level by high-altitude data. The proof of the stability estimate is based on the harmonic extension and the stability for line unique continuation of a harmonic function.

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Y. Chen, J. Cheng, G. Floridia, Y. Wada, M. Yamamoto. 2019-04-25. Conditional stability for an inverse source problem and an application to the estimation of air dose rate radioactive substances by drone data. https://arxiv.org/abs/1904.11551

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