{"paper":{"title":"On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions: the critical case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Adrien Richou (IMB, Freddy Delbaen (Department of Mathematics), INRIA Bordeaux - Sud-Ouest), Ying Hu (IRMAR)","submitted_at":"2013-03-20T07:52:05Z","abstract_excerpt":"In [3], the authors proved that uniqueness holds among solutions whose exponentials are $L^p$ with $p$ bigger than a constant $\\gamma$ ($p\\textgreater{}\\gamma$). In this paper, we consider the critical case: $p=\\gamma$. We prove that the uniqueness holds among solutions whose exponentials are $L^\\gamma$ under the additional assumption that the generator is strongly convex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4859","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"}