{"paper":{"title":"Uniqueness of solution to scalar BSDEs with $L\\exp{\\left(\\mu \\sqrt{2\\log{(1+L)}}\\,\\right)}$-integrable terminal values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Rainer Buckdahn (LM), Shanjian Tang (School of Mathematical Sciences), Ying Hu (IRMAR)","submitted_at":"2018-05-16T11:23:15Z","abstract_excerpt":"In [4], the existence of the solution is proved for a scalar linearly growing backward stochastic differential equation (BSDE) if the terminal value is $L\\exp{\\left(\\mu \\sqrt{2\\log{(1+L)}}\\,\\right)}$-integrable with the positive parameter $\\mu$ being bigger than a critical value $\\mu\\_0$.  In this note, we give the uniqueness result for the preceding BSDE."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06246","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"}