{"paper":{"title":"Determination of singular time-dependent coefficients for wave equations from full and partial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guanghui Hu, Yavar Kian","submitted_at":"2017-06-22T08:47:50Z","abstract_excerpt":"We study the problem of determining uniquely a time-dependent singular potential $q$, appearing in the wave equation $\\partial_t^2u-\\Delta_x u+q(t,x)u=0$ in $Q=(0,T)\\times\\Omega$ with $T>0$ and $\\Omega$ a $ \\mathcal C^2$ bounded domain of $\\mathbb R^n$, $n\\geq2$. We start by considering the unique determination of some singular time-dependent coefficients from observations on $\\partial Q$. Then, by weakening the singularities of the set of admissible coefficients, we manage to reduce the set of data that still guaranties unique recovery of such a coefficient. To our best knowledge, this paper "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07212","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"}