Scattering problems for the one-dimensional nonlinear Dirac equation with power nonlinearity

被引：1

作者：

Sasaki, Hironobu ^{[1
]}

机构：

[1] Chiba Univ, Dept Math & Informat, Chiba 2638522, Japan

来源：

IC-MSQUARE 2012: INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES | 2013年 / 410卷

关键词：

OPERATOR;

D O I：

10.1088/1742-6596/410/1/012035

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We study scattering problems for the one-dimensional nonlinear Dirac equation (partial derivative(t) + alpha partial derivative(x) + i beta)Phi = gimel vertical bar Phi vertical bar(p-1)Phi. We prove that if p > 3 (resp. p > 3 + 1/6), then the wave operator (resp. the scattering operator) is well-defined on some 0-neighborhood of a weighted Sobolev space.

引用

页数：4

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