典型文献
Revisit of the Faddeev Model in Dimension Two
文献摘要：
The raddeev model is a fundamental model in relativistic quantum field theory used to model elementary particles.The Faddeev model can be regarded as a system of non-linear wave equations with both quasi-linear and semi-linear non-linearities,which is particularly challenging in two space dimensions.A key feature of the system is that there exist undifferentiated wave components in the non-linearities,which somehow causes extra difficulties.Nevertheless,the Cauchy problem in two space dimenions was tackled by Lei-Lin-Zhou(2011)with small,regular,and compactly supported initial data,using Klainerman's vector field method enhanced by a novel angular-radial anisotropic technique.In the present paper,the authors revisit the Faddeev model and remove the compactness assumptions on the initial data by Lei-Lin-Zhou(2011).The proof relies on an improved L2 norm estimate of the wave components in Theorem 3.1 and a decomposition technique for non-linearities of divergence form.
文献关键词：
中图分类号：
作者姓名：
Shijie DONG;Zhen LEI
作者机构：
SUSTech International Center for Mathematics,Department of Mathematics,Southern University of Science and Technology,Shenzhen 518055,China;School of Mathematical Sciences,Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处：
引用格式：
[1]Shijie DONG;Zhen LEI-.Revisit of the Faddeev Model in Dimension Two)[J].数学年刊B辑（英文版）,2022(05):797-818
A类：
Revisit,Faddeev,raddeev,dimenions,Klainerman
B类：
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AB值：
0.584392
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