摘要
应用Hodge分解定理,得到一类齐次A-调和方程组很弱解的部分正则性结果。进一步地,利用A-调和逼近技巧,证明很弱解是最优H9lder连续的。
Applying Hodge decomposition theorem, partial regularity results of very weak solutions were obtained to some homogeneous A-harmonic systems. Further, these solutions were proved to be optimal H?lder continuity based on A-harmonic approximation technique.
出处
《贵州大学学报(自然科学版)》
2017年第5期8-12,共5页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金项目资助(11571159)
关键词
齐次A-调和方程组
很弱解
最优部分正则性
HODGE分解
A-调和逼近技巧
homogeneous A-harmonic systems
very weak solution
optimal partial regularity
Hodge decomposi-tion
A-harmonic approximation technique