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March/April 2017 The focusing cubic NLS with inverse-square potential in three space dimensions
Rowan Killip, Jason Murphy, Monica Visan, Jiqiang Zheng
Differential Integral Equations 30(3/4): 161-206 (March/April 2017).

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

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Rowan Killip. Jason Murphy. Monica Visan. Jiqiang Zheng. "The focusing cubic NLS with inverse-square potential in three space dimensions." Differential Integral Equations 30 (3/4) 161 - 206, March/April 2017.

Information

Published: March/April 2017
First available in Project Euclid: 18 February 2017

zbMATH: 06738547
MathSciNet: MR3611498

Subjects:
Primary: 35Q55

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 3/4 • March/April 2017
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