{"paper":{"title":"Uniform Strichartz estimates on the lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Changhun Yang, Younghun Hong","submitted_at":"2018-06-19T08:16:08Z","abstract_excerpt":"In this paper, we investigate Strichartz estimates for discrete linear Schr\\\"odinger and discrete linear Klein-Gordon equations on a lattice $h\\mathbb{Z}^d$ with $h>0$, where $h$ is the distance between two adjacent lattice points. As for fixed $h>0$, Strichartz estimates for discrete Schr\\\"odinger and one-dimensional discrete Klein-Gordon equations are established by Stefanov-Kevrekidis \\cite{SK2005}. Our main result shows that such inequalities hold uniformly in $h\\in(0,1]$ with additional fractional derivatives on the right hand side. As an application, we obtain local well-posedness of a d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07093","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"}