{"paper":{"title":"Derivation in strong topology and global well-posedness of solutions to the Gross-Pitaevskii hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CA","math.MP"],"primary_cat":"math-ph","authors_text":"Kenneth Taliaferro, Thomas Chen","submitted_at":"2013-05-07T04:48:00Z","abstract_excerpt":"We derive the cubic defocusing GP hierarchy in ${\\mathbb R}^3$ from a bosonic $N$-particle Schr\\\"odinger equation as $N\\rightarrow\\infty$, in the strong topology corresponding to the space ${\\mathcal H}_\\xi^1$ introduced in \\cite{chpa}. In particular, we thereby eliminate the requirement of regularity ${\\mathcal H}_\\xi^{1+}$ for the initial data used in \\cite{CPBBGKY}. Moreover, the marginal density matrices obtained in this strong limit are allowed to be of infinite rank. This contrasts previous results where weak-* limits were derived, and subsequently enhanced to strong limits based on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1404","kind":"arxiv","version":4},"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"}