The focusing cubic NLS with inverse-square potential in three space dimensions Killip, Rowan Murphy, Jason Visan, Monica Zheng, Jiqiang We consider the focusing cubic nonlinear Schrödinger equation with inverse-square potential in three space dimensions. We identify a sharp threshold between scattering and blowup, establishing a result analogous to that of Duyckaerts, Holmer, and Roudenko for the standard focusing cubic NLS. We also prove failure of uniform space-time bounds at the threshold. Khayyam Publishing 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22088 Killip R, Murphy J, Vişan M, Zheng J. The focusing cubic NLS with inverse-square potential in three space dimensions. <i>Differential and Integral Equations</i>. 2017;30(3/4):161-206. doi:<a href="https://doi.org/10.57262/die/1487386822">10.57262/die/1487386822</a> eng info:eu-repo/semantics/altIdentifier/doi/10.57262/die/1487386822 info:eu-repo/semantics/altIdentifier/issn/0893-4983 info:eu-repo/semantics/altIdentifier/arxiv/1603.08912 info:eu-repo/semantics/openAccess