{"paper":{"title":"On an $H^r(\\curl,\\O)$ estimate for a Maxwell-type system in convex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xingfei Xiang","submitted_at":"2019-01-08T06:44:33Z","abstract_excerpt":"In bounded convex domains, the regularity estimates of a vector field $\\u$ with its $\\dv\\u$, $\\curl\\u$ in $L^r$ space and the tangential components or the normal component of $\\u$ over the boundary in $L^r$ space, are established for $1<r<\\infty$. As an application, we derive an $H^r(\\curl,\\O)$ estimate for solutions to a Maxwell-type system with an inhomogeneous boundary condition in convex domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02174","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"}