Basics of the b-calculus
Abstract
Description
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.
55 pages, 6 figures. To appear in: J.B.Gil et al. (eds.), Approaches to Singular Analysis, Advances in Partial Differential Equations, Birkhäuser, Basel, 2000
55 pages, 6 figures. To appear in: J.B.Gil et al. (eds.), Approaches to Singular Analysis, Advances in Partial Differential Equations, Birkhäuser, Basel, 2000