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The symbol $b(\\xi)$ is subject to some condition ensuring strong ellipticity. The operator given by $b(D)^* g(x/\\varepsilon) b(D)$ in $L_2({\\mathbb R}^d;{\\mathbb C}^n)$ is denoted by $A_\\varepsilon$. Let ${\\mathcal O} \\subset {\\mathbb R}^d$ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1406.7530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-29T17:35:45Z","cross_cats_sorted":[],"title_canon_sha256":"ffc583af954b24ddbe4e4195bbb34c5a2e24467a561f8126b5d86884ed8ceae4","abstract_canon_sha256":"1f9188bb9ec890ba089e7cb82a1a6111d42e645b162f94c3a72f5b0620b38067"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:45.005781Z","signature_b64":"yfL9gaxmyCmj71kVGPWJlIzDIajGhi3VeRvqXrYnOqZAecyZcCo6j247HqIAkOr/RTh8J60e3nnwFcSizpNACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9b88b1b1e7795d215668509143a5e08e93bc494a348b5022ec0c654fe61397c","last_reissued_at":"2026-05-18T02:48:45.005009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:45.005009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization of elliptic problems: error estimates in dependence of the spectral parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tatiana Suslina","submitted_at":"2014-06-29T17:35:45Z","abstract_excerpt":"We consider a strongly elliptic differential expression of the form $b(D)^* g(x/\\varepsilon) b(D)$, $\\varepsilon >0$, where $g(x)$ is a matrix-valued function in ${\\mathbb R}^d$ assumed to be bounded, positive definite and periodic with respect to some lattice; $b(D)=\\sum_{l=1}^d b_l D_l$ is the first order differential operator with constant coefficients. The symbol $b(\\xi)$ is subject to some condition ensuring strong ellipticity. The operator given by $b(D)^* g(x/\\varepsilon) b(D)$ in $L_2({\\mathbb R}^d;{\\mathbb C}^n)$ is denoted by $A_\\varepsilon$. 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