Search Results - "Yang, Changhun"

The modified scattering of two dimensional semi-relativistic Hartree equations by Kwon, Soonsik, Lee, Kiyeon, Yang, Changhun

“…In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is the…”
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On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

“…In this paper, we develop dispersive PDE techniques for the Fermi–Pasta–Ulam (FPU) system with infinitely many oscillators, and we show that general solutions…”
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Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations by Hong, Younghun, Kwak, Chulkwang, Nakamura, Shohei, Yang, Changhun

“…A nonlinear Schrödinger equation (NLS) on a periodic box can be discretized as a discrete nonlinear Schrödinger equation (DNLS) on a periodic cubic lattice,…”
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On the Korteweg-de Vries limit for the Boussinesq equation by Hong, Younghun, Yang, Changhun

“…The Korteweg-de Vries (KdV) equation is known as a universal equation describing various long waves in dispersive systems. In this article, we prove that in a…”
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Small data scattering of semirelativistic Hartree equation by Yang, Changhun

“…In this paper we study the small data scattering of Hartree type semirelativistic equation in space dimension 3. The Hartree type nonlinearity is [V∗|u|2]u and…”
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On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

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Strichartz estimates for higher-order Schrödinger equations and their applications by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

“…We consider the higher-order linear Schrödinger equations which are formal finite Taylor expansions of the linear pseudo-relativistic Schrödinger equation. In…”
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Scattering for 2d semi-relativistic Hartree equations with short range potential by Yang, Changhun

“…We study the long time behavior of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is convolved with the…”
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On the Korteweg-de Vries limit for the Boussinesq equation by Hong, Younghun, Yang, Changhun

“…The Korteweg-de Vries (KdV) equation is known as a universal equation describing various long waves in dispersive systems. In this article, we prove that in a…”
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Small data scattering of semirelativistic Hartree equation by Yang, Changhun

“…In this paper we study the small data scattering of Hartree type semirelativistic equation in space dimension $3$. The Hartree type nonlinearity is $[V *…”
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Scattering results for Dirac Hartree-type equations with small initial data by Yang, Changhun

“…We consider the Dirac equation with cubic Hartree-type nonlinearity derived by uncoupling the Dirac-Klein-Gordon systems. We prove small data scattering result…”
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The modified scattering of 2 dimensional semi-relativistic Hartree equations by Kwon, Soonsik, Lee, Kiyeon, Yang, Changhun

“…In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is…”
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Strong Convergence for Discrete Nonlinear Schr\"odinger equations in the Continuum Limit by Hong, Younghun, Yang, Changhun

“…We consider discrete nonlinear Schr\"odinger equations (DNLS) on the lattice $h\mathbb{Z}^d$ whose linear part is determined by the discrete Laplacian which…”
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Uniform Strichartz estimates on the lattice by Hong, Younghun, Yang, Changhun

“…In this paper, we investigate Strichartz estimates for discrete linear Schr\"odinger and discrete linear Klein-Gordon equations on a lattice $h\mathbb{Z}^d$…”
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On the continuum limit for the discrete Nonlinear Schr\"odinger equation on a large finite cubic lattice by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

“…In this study, we consider the nonlinear Sch\"odinger equation (NLS) with the zero-boundary condition on a two- or three-dimensional large finite cubic…”
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Strichartz estimates for higher-order Schr\"odinger equations and their applications by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

“…In this paper, we consider the higher-order linear Schr\"odinger equations, that is, a formal finite Taylor expansion of the linear pseudo-relativistic…”
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The modified scattering for Dirac equations of scattering-critical nonlinearity by Cho, Yonggeun, Kwon, Soonsik, Lee, Kiyeon, Yang, Changhun

“…In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for…”
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Critical well-posedness and scattering results for fractional Hartree-type equations by Herr, Sebastian, Yang, Changhun

“…Differential Integral Equations (2018), Vol. 31, No. 9/10, 701-714 Scattering for the mass-critical fractional Schr\"odinger equation with a cubic Hartree-type…”
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Korteweg--de Vries limit for the Fermi--Pasta--Ulam system by Hong, Younghun, Kwak, Chulkwang, Yang, Changhun

“…In this paper, we develop dispersive PDE techniques for the Fermi--Pasta--Ulam (FPU) system with infinitely many oscillators, and we show that general…”
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On the modified scattering of $3$-d Hartree type fractional Schr\"odinger equations with Coulomb potential by Cho, Yonggeun, Hwang, Gyeongha, Yang, Changhun

“…In this paper we study 3-d Hartree type fractional Schr\"odin-ger equations: \begin{equation} i\partial_{t}u-|\nabla|^{\alpha}u = \lambda\left(|x|^{-\gamma} *|…”
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