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Communications on Pure and Applied Analysis | 2015

On Fractional Schrödinger Equations in sobolev spaces

Younghun Hong; Yannick Sire


Communications on Pure and Applied Analysis | 2016

Scattering for a nonlinear Schrödinger equation with a potential

Younghun Hong


Nonlinearity | 2017

A new class of traveling solitons for cubic fractional nonlinear Schrödinger equations

Younghun Hong; Yannick Sire


Archive for Rational Mechanics and Analysis | 2017

Global Well-Posedness of the NLS System for Infinitely Many Fermions

Thomas Chen; Younghun Hong; Nataša Pavlović


arXiv: Analysis of PDEs | 2016

Optimal convergence rate of nonrelativistic limit for the nonlinear pseudo-relativistic equations

Woocheol Choi; Younghun Hong; Jinmyoung Seok


Journal of Functional Analysis | 2018

Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations

Woocheol Choi; Younghun Hong; Jinmyoung Seok


arXiv: Analysis of PDEs | 2017

On critical and supercritical pseudo-relativistic nonlinear Schr\"odinger equations

Woocheol Choi; Younghun Hong; Jinmyoung Seok


arXiv: Numerical Analysis | 2018

Convergence rate of the finite element approximation for extremizers of Sobolev inequalities

Woocheol Choi; Younghun Hong; Jinmyoung Seok


arXiv: Analysis of PDEs | 2018

Uniform Strichartz estimates on the lattice

Younghun Hong; Changhun Yang


arXiv: Analysis of PDEs | 2018

Strong Convergence for Discrete Nonlinear Schr\"odinger equations in the Continuum Limit.

Younghun Hong; Changhun Yang

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