{"paper":{"title":"On convergence properties for generalized Schr\\\"{o}dinger operators along tangential curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Huiju Wang, Wenjuan Li","submitted_at":"2021-11-17T15:23:21Z","abstract_excerpt":"In this paper, we consider convergence properties for generalized Schr\\\"{o}dinger operators along tangential curves in $\\mathbb{R}^{n} \\times \\mathbb{R}$ with less smoothness comparing with Lipschitz condition. Firstly, we obtain sharp convergence rate for generalized Schr\\\"{o}dinger operators with polynomial growth along tangential curves in $\\mathbb{R}^{n} \\times \\mathbb{R}$, $n \\ge 1$. Secondly, it was open until now on pointwise convergence of solutions to the Schr\\\"{o}dinger equation along non-$C^1$ curves in $\\mathbb{R}^{n} \\times \\mathbb{R}$, $n\\geq 2$, we obtain the corresponding resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.09186","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.09186/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}