Green Operators in the Edge Calculus
偏微分方程分析
2007-05-23 v1 算子代数
摘要
The task to construct parametrices of elliptic differential operators on a manifold with edges requires a calculus of operators with a two-component principal symbolic hierarchy, consisting of (edge-degenerate) interior and (operator-valued) edge symbols. This so-called edge-algebra can be interpreted as a generalisation of the (pseudo-differential) algebra of boundary value problems without the transmission property at the boundary. We study new properties of the edge-algebra, in particular, what concerns the role of Green operators and their kernel representations.
引用
@article{arxiv.math/0608792,
title = {Green Operators in the Edge Calculus},
author = {B. -W. Schulze and A. Volpato},
journal= {arXiv preprint arXiv:math/0608792},
year = {2007}
}
备注
26 pages, 1 figure