{"paper":{"title":"An inverse problem for inhomogeneous Signorini obstacle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The shape and obstacle function of an inhomogeneous Signorini problem are uniquely determined by boundary measurements on an arbitrary open subset for both scalar and elasticity versions.","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ziyao Zhao","submitted_at":"2026-05-14T17:11:21Z","abstract_excerpt":"This paper investigates the inverse problem of determining a general Signorini obstacle using boundary measurements. We demonstrate that both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem."},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The Signorini problem is well-posed in the inhomogeneous setting, and boundary measurements on an arbitrary open subset suffice for uniqueness without additional regularity or geometric assumptions on the obstacle.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The shape and obstacle function of an inhomogeneous Signorini problem are uniquely determined by boundary measurements on an arbitrary open subset for both scalar and elasticity versions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"2f639fb04494eabf0611907bccc6d3be6d1a3156b8a5d7bee7805019818bb970"},"source":{"id":"2605.15091","kind":"arxiv","version":1},"verdict":{"id":"750da750-a4c9-4f14-9bf8-5859e81724bd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T03:18:52.823795Z","strongest_claim":"both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem.","one_line_summary":"The shape and obstacle function of an inhomogeneous Signorini problem are uniquely determined by boundary measurements on an arbitrary open subset for both scalar and elasticity versions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The Signorini problem is well-posed in the inhomogeneous setting, and boundary measurements on an arbitrary open subset suffice for uniqueness without additional regularity or geometric assumptions on the obstacle.","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"a60c3dfd5657deca05a63e14d34a565cb9532f86e9507be2e5990365078cbafc"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}