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Justin Holmer
Justin Holmer
Verified email at math.brown.edu - Homepage
Title
Cited by
Cited by
Year
A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
J Holmer, S Roudenko
Communications in mathematical physics 282 (2), 435-467, 2008
2992008
Scattering for the non-radial 3D cubic nonlinear Schrödinger equation
T Duyckaerts, J Holmer, S Roudenko
arXiv preprint arXiv:0710.3630, 2007
2652007
The initial-boundary value problem for the Korteweg–de Vries equation
J Holmer
Communications in Partial Differential Equations 31 (8), 1151-1190, 2006
1732006
Fast soliton scattering by delta impurities
J Holmer, J Marzuola, M Zworski
Communications in mathematical physics 274, 187-216, 2007
1552007
The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line
J Holmer
1352005
On the 2D Zakharov system with L2 Schrödinger data
I Bejenaru, S Herr, J Holmer, D Tataru
Nonlinearity 22 (5), 1063, 2009
1252009
Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems
J Colliander, J Holmer, N Tzirakis
Transactions of the American Mathematical Society 360 (9), 4619-4638, 2008
1122008
Soliton splitting by external delta potentials
J Holmer, J Marzuola, M Zworski
Journal of Nonlinear Science 17, 349-367, 2007
1032007
On blow-up solutions to the 3D cubic nonlinear Schrödinger equation
J Holmer, S Roudenko
Applied Mathematics Research eXpress 2007, abm004, 2007
972007
Slow soliton interaction with delta impurities
J Holmer, M Zworski
arXiv preprint math/0702465, 2007
802007
Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schroedinger Equation
X Chen, J Holmer
arXiv preprint arXiv:1308.3895, 2013
77*2013
Soliton interaction with slowly varying potentials
J Holmer, M Zworski
International Mathematics Research Notices 2008 (9), rnn026-rnn026, 2008
732008
On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
X Chen, J Holmer
Journal of the European Mathematical Society 18 (6), 1161-1200, 2016
652016
Divergence of infinite-variance nonradial solutions to the 3D NLS equation
J Holmer, S Roudenko
Communications in Partial Differential Equations 35 (5), 878-905, 2010
602010
Correlation structures, many-body scattering processes, and the derivation of the Gross–Pitaevskii hierarchy
X Chen, J Holmer
International Mathematics Research Notices 2016 (10), 3051-3110, 2016
592016
Local ill-posedness of the 1D Zakharov system
J Holmer
arXiv preprint math/0602153, 2006
582006
Blow-up criteria for the 3D cubic nonlinear Schrödinger equation
J Holmer, R Platte, S Roudenko
Nonlinearity 23 (4), 977, 2010
462010
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics
X Chen, J Holmer
Archive for Rational Mechanics and Analysis 210, 909-954, 2013
442013
The rigorous derivation of the 2D cubic focusing NLS from quantum many-body evolution
X Chen, J Holmer
International Mathematics Research Notices 2017 (14), 4173-4216, 2017
422017
Global existence and scattering for rough solutions to generalized nonlinear Schr\" odinger equations on $\R$
J Colliander, J Holmer, M Visan, X Zhang
arXiv preprint math/0612452, 2006
422006
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