{"paper":{"title":"Scattering of Wave Maps from $\\mathbb R^{2+1}$ to general targets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Joules Nahas","submitted_at":"2010-12-01T22:07:56Z","abstract_excerpt":"We show that smooth, radially symmetric wave maps $U$ from $\\mathbb R^{2+1}$ to a compact target manifold $N$, where $\\partial_r U$ and $\\partial_t U$ have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that for $\\lambda' \\in (0,1)$, energy does not concentrate in the set $$K_{5/8T,7/8T}^{\\lambda'} = {(x,t) \\in \\mathbb R^{2+1} | {5pt} |x| \\leq \\lambda' t, t \\in [(5/8)T,(7/8)T]}.$$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0336","kind":"arxiv","version":2},"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"}