{"paper":{"title":"On coupled systems of Kolmogorov equations with applications to stochastic differential games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"D. Addona, G. Tessitore, L. Angiuli, L. Lorenzi","submitted_at":"2015-06-16T06:30:56Z","abstract_excerpt":"We prove that a family of linear bounded evolution operators $({\\bf G}(t,s))_{t\\ge s\\in I}$ can be associated, in the space of vector-valued bounded and continuous functions, to a class of systems of elliptic operators $\\bm{\\mathcal A}$ with unbounded coefficients defined in $I\\times \\Rd$ (where $I$ is a right-halfline or $I=\\R$) all having the same principal part. We establish some continuity and representation properties of $({\\bf G}(t,s))_{t \\ge s\\in I}$ and a sufficient condition for the evolution operator to be compact in $C_b(\\Rd;\\R^m)$. We prove also a uniform weighted gradient estimate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04845","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"}