Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
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带 Lipschitz 前导系数和界面跳跃的二阶椭圆方程的卡尔曼估计
DOI：
10.1016/j.matpur.2016.10.015
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Jenn
中科院分区：
文献类型：
--
作者：
M. Cristo;E. Francini;C. Lin;S. Vessella;Jenn
本文证明了具有一般各向异性Lipschitz系数的二阶椭圆方程在界面处具有跳变的局部Carleman估计。我们使用的论点是微局部性质的。然而，不依赖于伪微分学，我们的方法允许人们对系数的规则性和界面的规则性实现几乎最优的假设。
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. The argument we use is of microlocal nature. Yet, not relying on pseudodifferential calculus, our approach allows one to achieve almost optimal assumptions on the regularity of the coefficients and, consequently, of the interface.