光滑与非光滑系数椭圆系统的迹、延拓、共法向导数与解的正则性
偏微分方程分析
2012-11-22 v3
摘要
对于Sobolev空间 (1/2<s<3/2)中的函数，考虑了非唯一广义和唯一典范共法向导数的定义，这些定义与偏微分算子及其右端项从定义域（它们在此处被指定）到定义域边界（它们在此处未被指定）的可能延拓有关。给出了边值问题设置的修正，使其对共法向导数固有的非唯一性不敏感。还介绍了关于迹算子估计、Sobolev空间刻画以及具有非光滑系数的偏微分方程解的正则性的一些新事实。
引用
@article{arxiv.0906.3875,
title = {Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients},
author = {S. E. Mikhailov},
journal= {arXiv preprint arXiv:0906.3875},
year = {2012}
}
备注
This is the version updated after the content was published in 2 papers, and the two parts of this version correspond to these 2 publications