Abstract
We study the large time behavior of solutions for the nonlinear Schrödinger equation with subcritical nonlinearities $$ \sum _{n=0,1}|u|^{1+p-n}u^n $$ with $0 < p < \frac{2}{d}$. We prove that there is no scattering nor modified scattering of solutions for the nonlinear Schrödinger equation.
Citation
Fang Conghui. Han Zheng. "The failure of scattering and modified scattering for subcritical Nonlinear Schrödinger equation." Differential Integral Equations 36 (7/8) 517 - 536, July/August 2023. https://doi.org/10.57262/die036-0708-517
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