{"paper":{"title":"Uniqueness theorem for inverse scattering problem with non-overdetermined data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A.G. Ramm","submitted_at":"2009-10-29T20:20:51Z","abstract_excerpt":"Let $q(x)$ be real-valued compactly supported sufficiently smooth function, $q\\in H^\\ell_0(B_a)$, $B_a:=\\{x: |x|\\leq a, x\\in R^3$ . It is proved that the scattering data $A(-\\beta,\\beta,k)$ $\\forall \\beta\\in S^2$, $\\forall k>0$ determine $q$ uniquely. here $A(\\beta,\\alpha,k)$ is the scattering amplitude, corresponding to the potential $q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5731","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"}