{"paper":{"title":"Gabor analysis for Schrodinger equations and propagation of singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Elena Cordero, Fabio Nicola, Luigi Rodino","submitted_at":"2015-09-02T19:52:20Z","abstract_excerpt":"We consider the Schr\\\"odinger equation \\begin{equation*} i \\displaystyle\\frac{\\partial u}{\\partial t} +Hu=0,\\quad H=a(x,D), \\end{equation*} where the Hamiltonian $a(z)$, $z=(x,\\xi)$, is assumed real-valued and smooth, with bounded derivatives $|\\partial^\\alpha a(z)|\\leq C_\\alpha$, for every $|\\alpha|\\geq 2$, $z\\in\\mathbb{R}^{2d}$. For such equation results are known concerning well-posedness of the Cauchy problem for initial data in $L^2(\\mathbb{R}^d)$ and local representation of the propagator $e^{it H}$ by means of Fourier integral operators. In the present paper we give a global expression "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00837","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"}