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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.AP2024
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…