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一类非齐次A-调和方程很弱解的唯一性 被引量:1

Uniqueness of Very Weak Solutions for Dirichlet's Problems of A Class of Non-Homogeneous A-Harmonic Equations
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摘要 通过运用扰动向量场的Hodge分解理论来构造适当的检验函数,得到非齐次A-调和方程Dirichlet问题-divA(x,u)=f(x)在Grand-Sobolev空间很弱解的唯一性理论. In this paper, on the basis of constructing a suitable test function by way of applying Hodge' s decomposition of disturbing vector fields, we obtain uniqueness results on very weak solutions for Dirichlet' s problems of non-homogeneous A- harmonic equation - divA (x, △↓u ) = f(x ).
作者 王占 郑神州
出处 《北京交通大学学报》 EI CAS CSCD 北大核心 2007年第3期50-53,共4页 JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金 国家自然科学基金资助项目(10671022)
关键词 唯一性 很弱解 HODGE分解 Grand-Sobolev空间 uniqueness very weak solutions Hodge' s decomposition Grand-Sobolev' s space
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