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math.AP2019★ 3 cited
Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases
Marius Beceanu, Qingquan Deng, Avy Soffer +1
In this work, we mainly focus on the energy-supercritical nonlinear Schrödinger equation, with and $p>\…
math.AP2018
Large global solutions for nonlinear Schrödinger equations II, mass-supercritical, energy-subcritical cases
Marius Beceanu, Qingquan Deng, Avy Soffer +1
In this paper, we consider the defocusing mass-supercritical, energy-subcritical nonlinear Schrödinger equation, w…
math.AP2017
Soliton-potential interactions for nonlinear Schrödinger equation in
Qingquan Deng, Avy Soffer, Xiaohua Yao
In this work we mainly consider the dynamics and scattering of a narrow soliton of NLS equation with a potential in , where the asymptotic state of the system can be…