论文标题
来自具有紧密间隔的僵硬$ c^{1，γ} $夹杂物的复合材料的椭圆系统的梯度估计值
Gradient estimates for elliptic systems from composite materials with closely spaced stiff $C^{1,γ}$ inclusions
论文作者
论文摘要
本文致力于在狭窄的区域中建立对一类带有Hölder连续系数的一类通用椭圆系统梯度的上限和下限估计值，在狭窄的区域上，上下边界为$ c^{1，γ}，$ 0 <γ<1 $，比以前的$ C^<1 $薄弱，比以前的$ C^{2，upauts $ c^{2} $。这些估计在复合材料的损坏分析中起关键作用。从我们的结果来看，损坏可能是从最狭窄的地方引发的。
This paper is devoted to establishing the pointwise upper and lower bounds estimates of the gradient of the solutions to a class of general elliptic systems with Hölder continuous coefficients in a narrow region where the upper and lower boundaries is $C^{1,γ},$ $0<γ<1$, weaker than the previous $C^{2,γ}$ assumption. These estimates play a key role in the damage analysis of composite materials. From our results, the damage may initiate from the narrowest place.
