{"paper":{"title":"An inverse problem for the relativistic Schr\\\"odinger equation with partial boundary data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Manmohan Vashisth, Venkateswaran P. Krishnan","submitted_at":"2018-01-15T16:26:33Z","abstract_excerpt":"We study the inverse problem of determining the vector and scalar potentials $\\mathcal{A}(t,x)=\\left(A_{0},A_{1},\\cdots,A_{n}\\right)$ and $q(t,x)$, respectively, in the relativistic Schr\\\"odinger equation\n  \\begin{equation*}\n  \\Big{(}\\left(\\partial_{t}+A_{0}(t,x)\\right)^{2}-\\sum_{j=1}^{n}\\left(\\partial_{j}+A_{j}(t,x)\\right)^{2}+q(t,x)\\Big{)}u(t,x)=0\n  \\end{equation*}\n  in the region $Q=(0,T)\\times\\Omega$, where $\\Omega$ is a $C^{2}$ bounded domain in $\\mathbb{R}^{n}$ for $n\\geq 3$ and $T>\\mbox{diam}(\\Omega)$ from partial data on the boundary $\\partial Q$. We prove the unique determination of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04866","kind":"arxiv","version":3},"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"}