{"paper":{"title":"On the inverse problem of the two-velocity tree-like graph","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"A. Choque Rivero, G. Leugering, S.A. Avdonin, V.S. Mikhaylov","submitted_at":"2025-05-28T09:01:25Z","abstract_excerpt":"In this article the authors continue the discussion in \\cite{ALM}\n  about inverse problems for second order elliptic and hyperbolic equations\n  on metric trees from boundary measurements. In the present paper we prove\n  the identifiability of varying densities of a planar tree-like network of\n  strings along with the complete information on the graph, i.e. the lengths\n  of the edges, the edge degrees and the angles between neighbouring edges.\n  The results are achieved using the Titchmarch-Weyl function for the spectral\n  problem and the Steklov-Poincar{\\'e} operator for the dynamic wave equat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.22138","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.22138/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}