{"paper":{"title":"On inhomogeneous Strichartz estimates for fractional Schr\\\"odinger equations and their applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chu-Hee Cho, Ihyeok Seo, Youngwoo Koh","submitted_at":"2015-01-22T05:32:21Z","abstract_excerpt":"In this paper we obtain some new inhomogeneous Strichartz estimates for the fractional Schr\\\"odinger equation in the radial case. Then we apply them to the well-posedness theory for the equation $i\\partial_{t}u+|\\nabla|^{\\alpha}u=V(x,t)u$, $1<\\alpha<2$, with radial $\\dot{H}^\\gamma$ initial data below $L^2$ and radial potentials $V\\in L_t^rL_x^w$ under the scaling-critical range $\\alpha/r+n/w=\\alpha$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05399","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"}