{"paper":{"title":"Scattering above energy norm of solutions of a loglog energy-supercritical Schrodinger equation with radial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tristan Roy","submitted_at":"2009-11-01T04:37:34Z","abstract_excerpt":"We prove scattering of $\\tilde{H}^{k} $ solutions of the loglog energy-supercritical Schrodinger equation $i \\partial_{t} u + \\triangle u = |u|^{\\frac{4}{n-2}} u \\log^{c} {(\\log{(10+|u|^{2})})}$, $0 < c < c_{n}$, $n={3,4}$, with radial data $u(0):=u_{0} \\in \\tilde{H}^{k} $, $k>n/2$. This is achieved, roughly speaking, by extending Bourgain's argument (see also Grillakis) and Tao's argument in high dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0127","kind":"arxiv","version":6},"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"}