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Very weak solutions of boundary value problems for the Laplace operator and the Lamé system on polyhedral domains in ℝ3

Published online by Cambridge University Press:  14 November 2011

Ding Hua
Ding Hua
Affiliation:
Institute of Mechanics, CAS, 100080 Beijing, China
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Abstract

The notion of very weak solutions is introduced in this paper in order to solve the boundary value problems for the Laplace operator and for the Lamé system with nonsmooth data in polyhedral domains. A continuity theorem is given for variational solutions of the above problems. This result may be used to solve problems with concentrated loads.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 4 , 1994 , pp. 645 - 672
Copyright
Copyright © Royal Society of Edinburgh 1994

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