2 citations · 2 across the 5 of their papers we have counts for
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On the Cauchy problem for the inhomogeneous nonlinear Schrödinger equation with inverse-power potential
JinMyong An, JinMyong Kim, OkByol Kim
In this paper, we study the Cauchy problem for the inhomogeneous nonlinear Schrödinger equation with inverse-power potential \[iu_{t} +Δu-c|x|^{-a}u=\pm |x|^{-b} |u|^{σ} u,\;\;(t,x…
Continuous dependence of the Cauchy problem for the inhomogeneous biharmonic NLS equation in Sobolev spaces
JinMyong An, YuIl Jo, JinMyong Kim
In this paper, we study the continuous dependence of the Cauchy problem for the inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation \[iu_{t} +Δ^{2} u=λ|x|^{-b}|u|^σu,~u…
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation
JinMyong An, PyongJo Ryu, JinMyong Kim
We consider the Cauchy problem for the inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation \[iu_{t} +Δ^{2} u=λ|x|^{-b}|u|^σu,\;u(0)=u_{0} \in H^{s} (\mathbb R^{d}),\] w…
Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces
JinMyong An, PyongJo Ryu, JinMyong Kim
In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear Schrödinger equation (IBNLS) \[iu_{t} +Δ^{2} u=λ|x|^{-b}|u|^σu,u(0)=u_{0} \in H^{s} (\mathbb R…
A note on the -critical inhomogeneous nonlinear Schrödinger equation
JinMyong An, JinMyong Kim
In this paper, we consider the Cauchy problem for the -critical inhomogeneous nonlinear Schrödinger (INLS) equation \[iu_{t} +Δu=λ|x|^{-b} f(u),\; u(0)=u_{0} \in H^{s} (\mat…