Differential Forms and the Change of Variable Formula for Multiple Integrals
β Scribed by Michael Taylor
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 67 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
Recently P. Lax has produced a novel approach to the proof of the change of variable formula for multiple integrals. In Section 1 we give a variant of Lax's proof, using the language of differential forms. In Sections 2 and 3 we discuss extensions involving more singular maps and integrands.  2002 Elsevier Science (USA)
π SIMILAR VOLUMES
## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUβrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDβalgebra. Moreover we study properties of th
The mixed (Dirichlet-Neumann) boundary-value problem for the 'Laplace' linear di erential equation with variable coe cient is reduced to boundary-domain integro-di erential or integral equations (BDIDEs or BDIEs) based on a specially constructed parametrix. The BDIDEs=BDIEs contain integral operator