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一类非齐次A-调和方程很弱解的唯一性
Uniqueness of Very Weak Solutions for Dirichlet’s Problems of A Class of Non-Homogeneous A-Harmonic Equations
【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.
【Abstract】 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).
【关键词】 唯一性;
很弱解;
Hodge分解;
Grand-Sobolev空间;
【Key words】 uniqueness; very weak solutions; Hodge’s decomposition; Grand-Sobolev’s space;
【Key words】 uniqueness; very weak solutions; Hodge’s decomposition; Grand-Sobolev’s space;
【基金】 国家自然科学基金资助项目(10671022)
- 【文献出处】 北京交通大学学报 ,Journal of Beijing Jiaotong University , 编辑部邮箱 ,2007年03期
- 【分类号】O175.29
- 【被引频次】5
- 【下载频次】45