{"paper":{"title":"Lipschitz stability for the Finite Dimensional Fractional Calder\\'on Problem with Finite Cauchy Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Angkana R\\\"uland, Eva Sincich","submitted_at":"2018-05-02T15:24:37Z","abstract_excerpt":"In this note we discuss the conditional stability issue for the finite dimensional Calder\\'on problem for the fractional Schr\\\"{o}dinger equation with a finite number of measurements. More precisely, we assume that the unknown potential $q \\in L^{\\infty}(\\Omega) $ in the equation $((-\\Delta)^s+ q)u = 0 \\mbox{ in } \\Omega\\subset \\mathbb{R}^n$ satisfies the a priori assumption that it is contained in a finite dimensional subspace of $L^{\\infty}(\\Omega)$. Under this condition we prove Lipschitz stability estimates for the fractional Calder\\'on problem by means of finitely many Cauchy data dependi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00866","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"}