arXiv:1603.08912 Abstract | arXiv Analytics

arXiv:1603.08912 [math.AP]Abstract References Reviews Resources

The focusing cubic NLS with inverse-square potential in three space dimensions

Rowan Killip, Jason Murphy, Monica Visan, Jiqiang Zheng

Published 2016-03-29Version 1

We consider the focusing cubic nonlinear Schr\"odinger 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.

Comments: 35 pages

Categories: math.AP

Keywords: space dimensions, inverse-square potential, uniform space-time bounds, standard focusing cubic nls, sharp threshold

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