Justin Holmer
Affiliations: | Mathematics | Brown University, Providence, RI |
Area:
Non-Linear PDEGoogle:
"Justin Holmer"
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Publications
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| Holmer J, Liu C. (2020) Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity I: Basic theory Journal of Mathematical Analysis and Applications. 483: 123522 |
| Chen X, Holmer J. (2019) The derivation of the mathbb {T}(3) T 3 energy-critical NLS from quantum many-body dynamics Inventiones Mathematicae. 217: 433-547 |
| Farah LG, Holmer J, Roudenko S. (2019) Instability of solitons in the 2d cubic Zakharov-Kuznetsov equation The SãO Paulo Journal of Mathematical Sciences. 13: 435-446 |
| Chen X, Holmer J. (2017) Focusing quantum many-body dynamics, II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D Analysis & Pde. 10: 589-633 |
| Chen X, Holmer J. (2016) The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution International Mathematics Research Notices. 2017: 4173-4216 |
| Chen X, Holmer J. (2016) Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation Archive For Rational Mechanics and Analysis. 221: 631-676 |
| Holmer J, Perelman G, Roudenko S. (2015) A Solution to the focusing 3D NLS that blows up on a contracting sphere Transactions of the American Mathematical Society. 367: 3847-3872 |
| Chen X, Holmer J. (2013) On the Rigorous Derivation of the 2D Cubic Nonlinear Schrödinger Equation from 3D Quantum Many-Body Dynamics Archive For Rational Mechanics and Analysis. 210: 909-954 |
| Holmer J, Lin Q. (2012) Phase-driven interaction of widely separated nonlinear schrödinger solitons Journal of Hyperbolic Differential Equations. 9: 511-543 |
| Holmer J. (2011) Dynamics of KdV solitons in the presence of a slowly varying potential International Mathematics Research Notices. 2011: 5367-5397 |