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An integration by parts formula in submanifolds of positive codimension

Authors :
Mathew Muether
Marius Mitrea
Source :
Mathematical Methods in the Applied Sciences. 27:1711-1723
Publication Year :
2004
Publisher :
Wiley, 2004.

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 © 2004 John Wiley & Sons, Ltd.

Subjects

Subjects :
Algebra
Partial differential equation
Riemann manifold
Differential form
General Mathematics
General Engineering
Integration by parts
Mathematics::Differential Geometry
Codimension
Riemannian manifold
Differential operator
Submanifold
Mathematics

Details

ISSN :
10991476 and 01704214
Volume :
27
Database :
OpenAIRE
Journal :
Mathematical Methods in the Applied Sciences
Accession number :
edsair.doi...........790c844767d5040c50689434d1f7cd8b
Full Text :
https://doi.org/10.1002/mma.526
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