{"paper":{"title":"Quantitative unique continuation principle for Schr\\\"odinger Operators with Singular Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Abel Klein, C.S. Sidney Tsang","submitted_at":"2014-08-08T22:52:10Z","abstract_excerpt":"We prove a quantitative unique continuation principle for Schr\\\"odinger operators $H=-\\Delta+V$ on $\\mathrm{L}^2(\\Omega)$, where $\\Omega$ is an open subset of $\\mathbb{R}^d$ and $V$ is a singular potential: $V \\in \\mathrm{L}^\\infty(\\Omega) + \\mathrm{L}^p(\\Omega)$. As an application, we derive a unique continuation principle for spectral projections of Schr\\\"odinger operators with singular potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1992","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"}