{"paper":{"title":"On generalized principal eigenvalues of nonlocal operators with a drift *","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Hamel (I2M), J\\'er\\^ome Coville (BIOSP)","submitted_at":"2018-12-29T17:56:59Z","abstract_excerpt":"This article is concerned with the following spectral problem: to find a positive function $\\Phi$ $\\in$ C 1 ($\\Omega$) and $\\lambda$ $\\in$ R such that q(x)$\\Phi$ (x) + ^ $\\Omega$ J(x, y)$\\Phi$(y) dy + a(x)$\\Phi$(x) + $\\lambda$$\\Phi$(x) = 0 for x $\\in$ $\\Omega$, where $\\Omega$ $\\subset$ R is a non-empty domain (open interval), possibly unbounded, J is a positive continuous kernel, and a and q are continuous coefficients. Such a spectral problem naturally arises in the study of nonlocal population dynamics models defined in a space-time varying environment encoding the influence of a climate cha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11412","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"}