{"paper":{"title":"Conditional stability for an inverse source problem and an application to the estimation of air dose rate radioactive substances by drone data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"G.Floridia, J. Cheng, M. Yamamoto, Y. Chen, Y. Wada","submitted_at":"2019-04-25T19:43:03Z","abstract_excerpt":"We consider the density field $f(x)$ generated by a volume source $\\mu(y)$ in $D$ which is a domain in $\\R^3$. For two disjoint segments $\\gamma, \\Gamma_1$ on a straight line in $\\R^3 \\setminus \\ooo{D}$, we establish a conditional stability estimate of H\\\"older type in determining $f$ on $\\Gamma_1$ by data $f$ on $\\gamma$. 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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11551","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}