article The energy-critical NLS with inverse-square potential published yes Rowan Killip author Changxing Miao author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca Junyong Zhang author Jiqiang Zheng author 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. American Institute of Mathematical Sciences2017 eng Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 1509.0582210.3934/dcds.2017162 3773831-3866 yes Killip, Rowan, Changxing Miao, Monica Vişan, Junyong Zhang, and Jiqiang Zheng. “The Energy-Critical NLS with Inverse-Square Potential.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2017. <a href="https://doi.org/10.3934/dcds.2017162">https://doi.org/10.3934/dcds.2017162</a>. 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.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7, American Institute of Mathematical Sciences, 2017, pp. 3831–66, doi:<a href="https://doi.org/10.3934/dcds.2017162">10.3934/dcds.2017162</a>. R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Discrete and Continuous Dynamical Systems 37 (2017) 3831–3866. Killip, R., Miao, C., Vişan, M., Zhang, J., &#38; Zheng, J. (2017). The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href="https://doi.org/10.3934/dcds.2017162">https://doi.org/10.3934/dcds.2017162</a> Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. 2017;37(7):3831-3866. doi:<a href="https://doi.org/10.3934/dcds.2017162">10.3934/dcds.2017162</a> R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “The energy-critical NLS with inverse-square potential,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7. American Institute of Mathematical Sciences, pp. 3831–3866, 2017. 220332026-06-19T07:42:59Z2026-06-22T12:47:32Z