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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
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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