Basics of the b-calculus

Daniel Grieser

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Basics of the b-calculus

Daniel Grieser

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Abstract

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.

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Daniel Grieser. 2000-10-31. Basics of the b-calculus. https://arxiv.org/abs/math/0010314

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