论文标题
线性椭圆系统的分段平滑度，具有分段平滑系数
Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients
论文作者
论文摘要
Li和Vogelius，Li和Nirenberg获得了分段$ c^{1，γ} $ - 针对带有复合材料的零件椭圆形问题的线性椭圆形问题的规律性。在本文中，我们获得了分段$ c^{m+1，γ} $ - 带有分段$ c^{m，γ} $的线性椭圆系统的规律性，这些系数也来自复合材料。这回答了Li和Vogelius以及Li和Nirenberg提出的开放问题。
Li and Vogelius, and Li and Nirenberg obtained piecewise $C^{1,γ}$-regularity for linear elliptic problems with piecewise $C^γ$-coefficients which come from composite materials. In this paper, we obtain piecewise $C^{m+1,γ}$-regularity for linear elliptic systems with piecewise $C^{m,γ}$-coefficients which also come from composite materials. This answers the open problem suggested by Li and Vogelius, and Li and Nirenberg.
