{"paper":{"title":"Inhomogeneous Strichartz estimates for Schr\\\"odinger's equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ihyeok Seo, Youngwoo Koh","submitted_at":"2016-01-28T04:44:49Z","abstract_excerpt":"Foschi and Vilela in their independent works (\\cite{F},\\cite{V}) showed that the range of $(1/r,1/\\widetilde{r})$ for which the inhomogeneous Strichartz estimate $ \\big\\|\\int_{0}^{t}e^{i(t-s)\\Delta}F(\\cdot,s)ds\\big\\|_{L^{q}_tL^{r}_x} \\lesssim \\|F\\|_{L^{\\widetilde{q}'}_tL^{\\widetilde{r}'}_x} $ holds for some $q,\\widetilde{q}$ is contained in the closed pentagon with vertices $A,B,B',P,P'$ except the points $P,P'$ (see Figure 1). We obtain the estimate for the corner points $P,P'$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07643","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"}