Basics of the b-Calculus
Basics of the b-Calculus
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b 微积分基础知识
DOI：
10.1007/978-3-0348-8253-8_2
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
D. Grieser
中科院分区：
文献类型：
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作者：
D. Grieser
R. B。梅尔罗斯的b-演算提供了一个框架，用于处理奇异或退化几何情况下出现的偏微分方程问题。这篇文章是一个有点非正式的短期课程，介绍了这个世界的许多基本思想，假设只不过是一个基本的分析和多方面的背景。作为例子，讨论了流形上的经典伪微分算子和带边界流形上的b-伪微分（也称为全特征）算子。
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.