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一类退化椭圆型方程很弱解的正则性和稳定性
Regularity and Stability of Very Weak Solutions for A Class of Degenerate Elliptic Equations
【摘要】 对退化椭圆型方程-divA(x,g+u)=f+divh,当p≥2时用扰动向量场的Hodge分解技巧来构造适当的检验函数,得到其很弱解的正则性和稳定性结果.
【Abstract】 In this paper,on the basis of constructing a suitable test function by way of Hodge’s decomposition of disturbing vector fields,we obtain regularity and stability of very weak solutions for a class of degenerate elliptic equations with p≥2;as follows-divA(x,g+u)=f+divh.
【关键词】 退化椭圆型方程;
很弱解;
Hodge分解;
逆Hlder不等式;
正则性;
稳定性;
【Key words】 degenerate elliptic equation; very weak solutions; Hodge’s decomposition; reverse Hlder inequality; regularity; stability;
【Key words】 degenerate elliptic equation; very weak solutions; Hodge’s decomposition; reverse Hlder inequality; regularity; stability;
【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】O175.25
- 【被引频次】4
- 【下载频次】83