Differential and Integral Equations

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

Rowan Killip, Jason Murphy, Monica Visan, and Jiqiang Zheng

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Abstract

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

Article information

Source
Differential Integral Equations, Volume 30, Number 3/4 (2017), 161-206.

Dates
First available in Project Euclid: 18 February 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1487386822

Mathematical Reviews number (MathSciNet)
MR3611498

Zentralblatt MATH identifier
06738547

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

Citation

Killip, Rowan; Murphy, Jason; Visan, Monica; Zheng, Jiqiang. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential Integral Equations 30 (2017), no. 3/4, 161--206. https://projecteuclid.org/euclid.die/1487386822


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