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Basics of the b-calculus | | Daniel Grieser
; | | Date: |
31 Oct 2000 | | Subject: | Analysis of PDEs; Differential Geometry MSC-class: 58-01 (Primary), 35-01 (Secondary) | math.AP math.DG | | 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. | | Source: | arXiv, math.AP/0010314 | | Services: | Forum | Review | PDF | Favorites | |
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