{"paper":{"title":"Uniqueness for the inverse fixed angle scattering problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alberto Ruiz, Carlos Castro, Crist\\'obal J. Mero\\~no, Juan A. Barcel\\'o, Mar\\'ia de la Cruz Vilela, Teresa Luque","submitted_at":"2018-11-08T14:33:10Z","abstract_excerpt":"We present a uniqueness result in dimensions $2$ and $3$ for the inverse fixed angle scattering problem associated to the Schr\\\"odinger operator $-\\Delta+q$, where $q$ is a small real valued potential with compact support in the Sobolev space $W^{\\beta,2}$ with $\\beta>0.$\n  This result improves the known result, due to Stefanov, in the sense that almost no regularity is required for the potential.\n  The uniqueness result still holds in dimension $4$, but for more regular potentials in $W^{\\beta,2}$ with $\\beta>2/3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03443","kind":"arxiv","version":2},"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"}