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math.AP2023
On stability and instability of the ground states for the focusing inhomogeneous NLS with inverse-square potential
JinMyong An, HakBom Mun, JinMyong Kim
In this paper, we study the stability and instability of the ground states for the focusing inhomogeneous nonlinear Schrödinger equation with inverse-square potential (for short, I…
math.AP2023
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…