{"paper":{"title":"On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisa Lankeit, Johannes Lankeit","submitted_at":"2018-05-23T14:51:22Z","abstract_excerpt":"Introducing a suitable solution concept, we show that in bounded smooth domains $\\Omega\\subset \\mathbb{R}^n$, $n\\ge 1$, the initial boundary value problem for the chemotaxis system \\begin{align*}\n  u_t&=\\Delta u -\\chi\\nabla\\cdot\\left(\\frac{u}{v}\\nabla v\\right)+\\kappa u -\\mu u^2,\\\\ v_t&=\\Delta v -uv, \\end{align*} with homogeneous Neumann boundary conditions and widely arbitrary initial data has a generalized global solution for any $\\mu, \\kappa, \\chi >0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09205","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"}