{"paper":{"title":"Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA"],"primary_cat":"math.AP","authors_text":"Alan Mcintosh (MSI), Sylvie Monniaux (I2M)","submitted_at":"2016-08-05T08:20:06Z","abstract_excerpt":"This paper concerns Hodge-Dirac operators D = d + $\\delta$ acting in L p ($\\Omega$, {\\lambda}) where $\\Omega$ is a bounded open subset of R n satisfying some kind of Lipschitz condition, {\\lambda} is the exterior algebra of R n , d is the exterior derivative acting on the de Rham complex of differential forms on $\\Omega$, and $\\delta$ is the interior derivative with tangential boundary conditions. In L 2 ($\\Omega$, {\\lambda}), $\\delta$ = d * and D is self-adjoint, thus having bounded resolvents (I + itD) --1 t$\\in$R as well as a bounded functional calculus in L 2 ($\\Omega$, {\\lambda}). We inve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01797","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"}