{"paper":{"title":"Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tatiana Suslina","submitted_at":"2018-10-26T13:53:14Z","abstract_excerpt":"In a bounded domain $\\mathcal{O}\\subset\\mathbb{R}^3$ of class $C^{1,1}$, we consider a stationary Maxwell system with the boundary conditions of perfect conductivity. It is assumed that the magnetic permeability is given by a constant positive $(3\\times 3)$-matrix $\\mu_0$ and the dielectric permittivity is of the form $\\eta({\\mathbf x}/ \\varepsilon)$, where $\\eta({\\mathbf x})$ is a $(3 \\times 3)$-matrix-valued function with real entries, periodic with respect to some lattice, bounded and positive definite. Here $\\varepsilon >0$ is the small parameter. Suppose that the equation involving the cu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11328","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"}