7 citations · 29 across the 22 of their papers we have counts for
3 papers · 1 filter
On the control issues for higher-order nonlinear dispersive equations on the circle
Roberto de A. Capistrano-Filho, Chulkwang Kwak, Francisco J. Vielma Leal
The local and global control results for a general higher-order KdV-type operator posed on the unit circle are presented. Using spectral analysis, we are able to prove local result…
Strichartz estimates for higher-order Schrödinger equations and their applications
Younghun Hong, Chulkwang Kwak, Changhun Yang
In this paper, we consider the higher-order linear Schrödinger equations, that is, a formal finite Taylor expansion of the linear pseudo-relativistic equation. We establish the glo…
On the continuum limit for the discrete Nonlinear Schrödinger equation on a large finite cubic lattice
Younghun Hong, Chulkwang Kwak, Changhun Yang
In this study, we consider the nonlinear Schödinger equation (NLS) with the zero-boundary condition on a two- or three-dimensional large finite cubic lattice. We prove that its sol…