{"paper":{"title":"Hypoellipticity of the $\\bar\\partial$-Neumann problem by means of subelliptic multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Giuseppe Zampieri, Luca Baracco, Stefano Pinton","submitted_at":"2014-01-10T00:10:39Z","abstract_excerpt":"We prove local hypoellipticity of the complex Laplacian $\\Box$ and of the Kohn Laplacian $\\Box_b$ in a pseudoconvex boundary when, for a system of cut-off $\\eta$, the gradient $\\partial_b\\eta$ and the Levi form $\\partial_b\\bar\\partial_b\\eta^2$ are subelliptic multipliers in the sense of Kohn."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2210","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"}