The Focusing Cubic NLS with Inverse-Square Potential in Three Space Dimensions
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 [7, 11]. We also prove failure of uniform space-time bounds at the threshold.
R. Killip et al., "The Focusing Cubic NLS with Inverse-Square Potential in Three Space Dimensions," Differential and Integral Equations, vol. 30, no. 2019-03-04, pp. 161 - 206, Khayyam Publishing, Mar 2017.
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
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01 Mar 2017