Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients
Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients
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DOI：
10.1007/s002050000082
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发表时间：
2000-06
影响因子：
2.5
通讯作者：
Yanyan Li;M. Vogelius
中科院分区：
文献类型：
--
作者：
Yanyan Li;M. Vogelius
本文导出了具有分段Hölder连续系数的椭圆型方程散度解的globalW1，∞和piecewiseC1，α估计。这些估计的新颖之处在于，尽管它们取决于系数不连续面的形状和大小，但它们与这些面之间的距离无关。
In this paper we derive globalW1,∞and piecewiseC1,αestimates for solutions to divergence form elliptic equations with piecewise Hölder continuous coefficients. The novelty of these estimates is that, even though they depend on the shape and on the size of the surfaces of discontinuity of the coefficients, they are independent of the distance between these surfaces.