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arXiv 1908.007432019-08math.AP

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

Chengbin Xu, Tengfei Zhao

备注：: 10pages, minor typographic and bibliographic corrections

英文摘要：

We consider the scattering results of the radial solutions below the ground state to the focusing inhomogeneous nonlinear Schrödinger equation $$i\partial_tu+Δu +|x|^{-b}|u|^{p}u=0$$ 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.

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