基于边界测量对较低正则性电导率的重建
偏微分方程分析
2013-04-09 v3
摘要
本文遵循Nachman和Haberman与Tataru的思想，从Dirichlet-to-Neumann映射Λ_γ重建Lipschitz域Ω上的C^1电导率γ或具有足够小|∇logγ|值的Lipschitz电导率γ。在附录中，作者与R. M. Brown从Dirichlet-to-Neumann映射Λ_γ恢复了Lipschitz域边界上C^1电导率的梯度。
引用
@article{arxiv.1212.0727,
title = {Reconstruction from boundary measurements for less regular conductivities},
author = {Andoni García and Guo Zhang},
journal= {arXiv preprint arXiv:1212.0727},
year = {2013}
}
备注
24pages