Basics of the b-Calculus

By D. Grieser. 2000

81 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/42e33d9723f473416c79dd6c68226d51b58f4966

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In Applied Mathematics

1. Thomas Schick
2. P. Piazza

In Mathematical Physics

1. P. Piazza
2. Thomas Schick
3. Guoliang Yu
4. Zhizhang Xie
5. N. Higson

Citations in the corpus

• Bordism, rho-invariants and the Baum-Connes conjecture (2004, background): “Short but rather complete introductions to the theory are given in the surveys [48] and [16] and also in the appendix of [50].”