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math.AP2021
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…
math.AP2021
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…