A remark on the scattering theory for the 2d radial focusing INLS

Abstract

We consider the scattering results of the radial solutions below the ground state to the focusing inhomogeneous nonlinear Schrödinger equation $$i{\partial }_{t}u+\Delta u+|x{|}^{-b}|u{|}^{p}u=0$$ in two dimension, where $0<b<1$ and $2-b<p<\infty$. We use a modified version of Arora-Dodson-Murphy's approach [1] to give a new proof that extends the scattering results of [10] and avoids concentration compactness.

arXiv comment10pages, minor typographic and bibliographic corrections

References in corpus (7)

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Cited by in corpus (1)

• Long time behaviors for the inhomogeneous NLS with a potential in ${\mathbb{R}}^3$