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An integration by parts formula in submanifolds of positive codimension

✍ Scribed by Marius Mitrea; Mathew Muether

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
123 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We prove a general integration by parts formula for first‐order differential operators on submanifolds of arbitrary codimension of a given Riemannian manifold. The differential operators in question are assumed to satisfy a suitable tangentiality condition. Several particular cases, particularly relevant to applications to PDE arising in mathematical physics are discussed. Copyright Β© 2004 John Wiley & Sons, Ltd.

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