{"paper":{"title":"Sharp Strichartz estimates on non-trapping asymptotically conic manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrew Hassell, Jared Wunsch, Terence Tao","submitted_at":"2004-08-20T05:21:35Z","abstract_excerpt":"We obtain the Strichartz inequalities $$ \\| u \\|_{L^q_t L^r_x([0,1] \\times M)} \\leq C \\| u(0) \\|_{L^2(M)}$$ for any smooth $n$-dimensional Riemannian manifold $M$ which is asymptotically conic at infinity (with either short-range or long-range metric perturbation) and non-trapping, where $u$ is a solution to the Schr\\\"odinger equation $iu_t + {1/2} \\Delta_M u = 0$, and $2 < q, r \\leq \\infty$ are admissible Strichartz exponents ($\\frac{2}{q} + \\frac{n}{r} = \\frac{n}{2}$). This corresponds with the estimates available for Euclidean space (except for the endpoint $(q,r) = (2, \\frac{2n}{n-2})$ whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0408273","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"}