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- W1608534223 abstract "In this paper, we shall prove that the scattering operator for nonlinear Schr{o}dinger equations $ iu_t+(-Delta)^m u=lambda_1|u|^{p_1}u+ lambda_2|u|^{p_2}u$ carries a band $dot B(p_1,p_2,delta)$ in $H^s$ into $H^s$ for some $delta>0$, where $dot B(p_1,p_2,delta)={varphiin H^s: |varphi|_{dot H^{s(p_1)}capdot H^{s(p_2)}}leq delta}$, $s(p_i)=n/2-2m/p_i$, $s(p_2)leq sle s(p_1)+1$, $4m/nleq p_1leq p_2leq 4m/(n-2s)$." @default.
- W1608534223 created "2016-06-24" @default.
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- W1608534223 date "2002-01-01" @default.
- W1608534223 modified "2023-10-15" @default.
- W1608534223 title "The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in $H^s$" @default.
- W1608534223 doi "https://doi.org/10.57262/die/1356060764" @default.
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