ESTIMATES FOR ELLIPTIC SYSTEMS FOR COMPOSITE MATERIAL
ESTIMATES FOR ELLIPTIC SYSTEMS FOR COMPOSITE MATERIAL
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DOI：
10.1142/9789812702548_0014
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发表时间：
2004-06
期刊：
影响因子：
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通讯作者：
L. Nirenberg
中科院分区：
文献类型：
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作者：
L. Nirenberg
这是一份与Y. Y. Li [3].我们考虑复合介质中的一些有界区域Ω。在科隆。Ω是若干子区域Di的并集。在每一个区域中，介质的物理特性都是平滑的，但是当我们越过区域的边界时，它们可能会跳跃。描述物理问题的方程是发散形式的线性二阶椭圆方程组（下面解释）。系统的系数在每一个Didi的闭包中是光滑的，但在边界上是不连续的。工程问题的解应该属于Sobolev空间W1，2= H1。如果系统是弹性的，则梯度曲率表示应变。
This is a report on joint work with Y.Y. Li [3]. We consider composite media in some bounded domain Ω. in ℝn. Ω is the union of a number of subregions Di. In eachthe physical characteristics of the media are smooth, but they may jump as we go across the boundaries of the regions. The equations describing the physical problem are linear second order elliptic systems in divergence form (explained below). The coefficients of the system are smooth in the closureof each Dibut are discontinuous across boundaries. The solutionof the, say engineering, problem is supposed to belong to the Sobolev spaces W1,2= H1. The gradient ▽urepresents the strains if the system comes from elasticity…