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arXiv:math/0010314 [math.AP]AbstractReferencesReviewsResources

Basics of the b-calculus

Daniel Grieser

Published 2000-10-31Version 1

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.

Comments: 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
Categories: math.AP, math.DG
Subjects: 58-01, 35-01
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