The energy-critical NLS with inverse-square potential
Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2017. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 37(7), 3831–3866.
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Author
Killip, Rowan;
Miao, Changxing;
Vişan, MonicaISTA;
Zhang, Junyong;
Zheng, Jiqiang
Abstract
We consider the defocusing energy-critical nonlinear Schrödinger
equation with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three
space dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25. We also carry out the variational analysis needed to treat the focusing case.
Publishing Year
Date Published
2017-07-01
Journal Title
Discrete and Continuous Dynamical Systems
Publisher
American Institute of Mathematical Sciences
Volume
37
Issue
7
Page
3831-3866
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 2017;37(7):3831-3866. doi:10.3934/dcds.2017162
Killip, R., Miao, C., Vişan, M., Zhang, J., & Zheng, J. (2017). The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2017162
Killip, Rowan, Changxing Miao, Monica Vişan, Junyong Zhang, and Jiqiang Zheng. “The Energy-Critical NLS with Inverse-Square Potential.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2017. https://doi.org/10.3934/dcds.2017162.
R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “The energy-critical NLS with inverse-square potential,” Discrete and Continuous Dynamical Systems, vol. 37, no. 7. American Institute of Mathematical Sciences, pp. 3831–3866, 2017.
Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2017. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 37(7), 3831–3866.
Killip, Rowan, et al. “The Energy-Critical NLS with Inverse-Square Potential.” Discrete and Continuous Dynamical Systems, vol. 37, no. 7, American Institute of Mathematical Sciences, 2017, pp. 3831–66, doi:10.3934/dcds.2017162.
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