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- W4288264848 abstract "We consider a class of $L^2$-supercritical inhomogeneous nonlinear Schrodinger equations in two dimensions [ ipartial_t u + Delta u = pm |x|^{-b} |u|^alpha u, quad (t,x) in mathbb{R} times mathbb{R}^2, ] where $0<b<1$ and $alpha>2-b$. By adapting a new approach of Arora-Dodson-Murphy cite{ADM}, we show the energy scattering for the equation with radially symmetric initial data. In the focusing case, our result extends the one of Farah-Guzm'an cite{FG-high} to the whole range of $b$ where the local well-posedness is available. In the defocusing case, our result extends the one in cite{Dinh-scat} where the energy scattering for non-radial initial data was established in dimensions $Ngeq 3$." @default.
- W4288264848 created "2022-07-28" @default.
- W4288264848 creator A5087338257 @default.
- W4288264848 date "2019-08-08" @default.
- W4288264848 modified "2023-10-14" @default.
- W4288264848 title "Energy scattering for a class of inhomogeneous nonlinear Schrodinger equation in two dimensions" @default.
- W4288264848 doi "https://doi.org/10.48550/arxiv.1908.02987" @default.
- W4288264848 hasPublicationYear "2019" @default.
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