3 papers
math.AP2024
Regular Strichartz estimates in Lorentz-type spaces with application to the -critical inhomogeneous biharmonic NLS equation
RoeSong Jang, JinMyong An, JinMyong Kim
In this paper, we investigate the Cauchy problem for the -critical inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation \[iu_{t}\pm Δ^{2} u=λ|x|^{-b}|u|^σu,~u(0)=u_…
math.AP2021
Global existence and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with inverse-square potential
JinMyong An, JinMyong Kim, RoeSong Jang
In this paper, we study the Cauchy problem for the focusing inhomogeneous nonlinear Schrödinger equation with inverse-square potential \[iu_{t} +Δu-c|x|^{-2}u+|x|^{-b} |u|^{σ} u=0,…
math.AP2021
The Cauchy problem for the energy-critical inhomogeneous nonlinear Schrödinger equation with inverse-square potential
RoeSong Jang, JinMyong An, JinMyong Kim
In this paper, we study the Cauchy problem for the energy-critical inhomogeneous nonlinear Schrödinger equation with inverse-square potential \[iu_{t} +Δu-c|x|^{-2}u=λ|x|^{-b} |u|^…