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On the direct solution of certain half-plane mixed boundary-value problems

Published online by Cambridge University Press:  24 October 2008

D. Naylor
D. Naylor
Affiliation:
University of WesternOntario
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Extract

In this paper a method is proposed for solving certain half-plane elliptic boundary-value problems involving mixed boundary conditions. The equation considered is a generalization of the Tricomi equation which contains the space form of the damped wave equation as a special case. Existing methods depend on the use of Fourier integrals and lead to the solution of integral equations. The methods employed here are direct and yield explicit solution formulas without the necessity of solving integral equations and as such avoid the arguments inherent in the use of the Wiener-Hopf technique.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 753 - 759
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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