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Boundary value problems for the vibrating string equation

Published online by Cambridge University Press:  14 November 2011

B. D. Sleeman
B. D. Sleeman
Affiliation:
Department of Mathematics, University of Dundee, Dundee DD1 4HN
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Synopsis

Dirichlet, Neumann and mixed boundary value problems for the equation uxx −uyy = 0 are considered for a variety of rectangular domains. Uniqueness of solutions to these non-well-posed problems is considered by separation of variables methods. The question of uniqueness is also discussed for domains other than rectangles.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 185 - 194
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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