Energy Scattering for Schrodinger Equation with Exponential Nonlinearity in Two Dimensions

被引：1
|
作者：
Wang, Shuxia [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年
关键词：
BLOW-UP; GORDON; SPACE;
D O I：
10.1155/2013/968603
中图分类号：
学科分类号：
摘要：
When the spatial dimensions n = 2, the initial data u(0) epsilon H-1, and the Hamiltonian H(u(0)) <= 1, we prove that the scattering operator is well defined in the whole energy space H-1(R-2) for nonlinear Schrodinger equation with exponential nonlinearity (e(lambda vertical bar u vertical bar 2) - 1)u, where 0 < lambda < 4 pi.
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页数：13
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