The focusing cubic NLS with inverse-square potential in three space dimensions
Killip R, Murphy J, Vişan M, Zheng J. 2017. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. 30(3/4), 161–206.
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Author
Killip, Rowan;
Murphy, Jason;
Vişan, MonicaISTA;
Zheng, Jiqiang
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. We also prove failure of uniform space-time bounds at the threshold.
Mathematics Subject Classification
Publishing Year
Date Published
2017-03-01
Journal Title
Differential and Integral Equations
Publisher
Khayyam Publishing
Volume
30
Issue
3/4
Page
161-206
ISSN
IST-REx-ID
Cite this
Killip R, Murphy J, Vişan M, Zheng J. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. 2017;30(3/4):161-206. doi:10.57262/die/1487386822
Killip, R., Murphy, J., Vişan, M., & Zheng, J. (2017). The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. Khayyam Publishing. https://doi.org/10.57262/die/1487386822
Killip, Rowan, Jason Murphy, Monica Vişan, and Jiqiang Zheng. “The Focusing Cubic NLS with Inverse-Square Potential in Three Space Dimensions.” Differential and Integral Equations. Khayyam Publishing, 2017. https://doi.org/10.57262/die/1487386822.
R. Killip, J. Murphy, M. Vişan, and J. Zheng, “The focusing cubic NLS with inverse-square potential in three space dimensions,” Differential and Integral Equations, vol. 30, no. 3/4. Khayyam Publishing, pp. 161–206, 2017.
Killip R, Murphy J, Vişan M, Zheng J. 2017. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. 30(3/4), 161–206.
Killip, Rowan, et al. “The Focusing Cubic NLS with Inverse-Square Potential in Three Space Dimensions.” Differential and Integral Equations, vol. 30, no. 3/4, Khayyam Publishing, 2017, pp. 161–206, doi:10.57262/die/1487386822.
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