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一类齐次A-调和方程组很弱解的最优部分正则性

Optimal Partial Regularity of Very Weak Solutions to Homogeneous A-harmonic Systems
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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.
作者 赵青 陈淑红
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
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