Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$
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Publication:4685129
DOI10.1137/17M1147275zbMath1428.35500arXiv1702.04115MaRDI QIDQ4685129
Xiao Hua Yao, Qing Quan Deng, Avy Soffer
Publication date: 5 October 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.04115
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (4)
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential ⋮ Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Endpoint Strichartz estimates for charge transfer Hamiltonians
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