论文标题

弹性迪里奇特到neumann地图的近似

Approximation of the elastic Dirichlet-to-Neumann map

论文作者

Vodev, Georgi

论文摘要

我们研究了带有光滑边界的R d,d $ \ ge $ 2中有界域中弹性的固定线性方程的Dirichlet到Neumann图。我们表明,可以通过矩阵值符号在边界上的伪差操作员近似它,我们通过单位矩阵计算主符号模量。

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in R d , d $\ge$ 2, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.

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