Basics of the b-calculus
偏微分方程分析
2007-05-23 v1 微分几何
摘要
R. B. Melrose's b-calculus provides a framework for dealing with problems of partial differential equations that arise in singular or degenerate geometric situations. This article is a somewhat informal short course introducing many of the basic ideas of this world, assuming little more than a basic analysis and manifold background. As examples, classical pseudodifferential operators on manifolds and b-pseudodifferential (also known as totally characteristic) operators on manifolds with boundary are discussed.
引用
@article{arxiv.math/0010314,
title = {Basics of the b-calculus},
author = {Daniel Grieser},
journal= {arXiv preprint arXiv:math/0010314},
year = {2007}
}
备注
55 pages, 6 figures. To appear in: J.B.Gil et al. (eds.), Approaches to Singular Analysis, Advances in Partial Differential Equations, Birkh\"auser, Basel, 2000