Scattering below the ground state for the 2𝑑 radial nonlinear Schrödinger equation A Arora, B Dodson, J Murphy Proceedings of the American Mathematical Society 148 (4), 1653-1663, 2020 | 38 | 2020 |
Scattering of radial data in the focusing NLS and generalized Hartree equations AK Arora arXiv preprint arXiv:1904.05800, 2019 | 26 | 2019 |
Global behavior of solutions to the focusing generalized Hartree equation AK Arora, S Roudenko Michigan Mathematical Journal 71 (3), 619-672, 2022 | 22 | 2022 |
Exponential bases on two dimensional trapezoids L De Carli, A Kumar Proceedings of the American Mathematical Society 143 (7), 2893-2903, 2015 | 10 | 2015 |
Well-posedness and blow-up properties for the generalized Hartree equation AK Arora, S Roudenko Journal of Hyperbolic Differential Equations 17 (04), 727-763, 2020 | 7 | 2020 |
Singularities and global solutions in the Schrödinger-Hartree equation AK Arora Ph. D. Thesis, Florida International University, 2020 | 4 | 2020 |
On the focusing generalized Hartree equation AK Arora, S Roudenko, K Yang Mathematics in Applied Sciences and Engineering 1 (4), 383-402, 2020 | 3 | 2020 |
On well-posedness and blow-up in the generalized Hartree equation AK Arora, S Roudenko arXiv preprint arXiv:1910.01085, 2019 | 3 | 2019 |
Self-bound vortex states in nonlinear Schrödinger equations with LHY correction AK Arora, C Sparber Nonlinear Differential Equations and Applications NoDEA 30 (1), 14, 2023 | 2 | 2023 |
Well-posedness in weighted spaces for the generalized Hartree equation with AK Arora, O Riaño, S Roudenko Communications in Contemporary Mathematics 24 (09), 2150074, 2022 | 2 | 2022 |
Threshold solutions for the Hartree equation AK Arora, S Roudenko arXiv preprint arXiv:2210.07344, 2022 | 1 | 2022 |