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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
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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. 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.
出处 《北京交通大学学报》 EI CAS CSCD 北大核心 2007年第3期44-49,共6页 JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金 国家自然科学基金资助项目(10671022)
关键词 退化椭圆型方程 很弱解 HODGE分解 逆Hoelder不等式 正则性 稳定性 degenerate elliptic equation very weak solutions Hodge' s decomposition reverse Hoelder inequality regularity stability
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