Interior Hlder and gradient estimates for the homogenization of the linear elliptic equations

• 作 者: ZHANG QiaoFu CUI JunZhi
• 机 构: LSEC
• 出 处: 中国科学：数学英文版
• 发表日期: 2013年8期
• 关键词: 梯度估计 非线性椭圆方程 同质化 LIPSCHITZ连续 室内 平移不变性 非线性方程 分段光滑 gradient estimate homogenizati
• 基金项目: supported by National Natural Science Foundation of China (Grant No.90916027),Special Funds for National Basic Research Program of China (973 Program) (Grant No. 2010CB832702),the State Key Laboratory

Hlder and gradient estimates for the correctors in the homogenization are presented based on the translation invariance and Li-Vogelius’s gradient estimate.If the coefficients are piecewise smooth and the homogenized solution is smooth enough,the interio