{"paper":{"title":"Lipschitz continuous dependence of piecewise constant Lam\\'e coefficients from boundary data: the case of non flat interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonino Morassi, Edi Rosset, Elena Beretta, Elisa Francini, Sergio Vessella","submitted_at":"2014-06-07T15:46:53Z","abstract_excerpt":"We consider the inverse problem of determining the Lam\\'e moduli for a piecewise constant elasticity tensor ${\\mathbb C}= \\sum_{j} {\\mathbb C}_j \\chi_{D_j}$, where $\\{D_j\\}$ is a known finite partition of the body $\\Omega$, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under $C^{1,\\alpha}$ regularity assumptions on the interfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1899","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"}