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On transformations of the biharmonic equation

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  26 February 2010

George W. Bluman  and
R. Douglas Gregory
George W. Bluman
Affiliation:
Department of Mathematics and Institute of Applied Mathematics and Statistics, University of British Columbia, Vancouver, B.C., Canada, V6T 1Y4.
R. Douglas Gregory
Affiliation:
Department of Mathematics, University of Manchester, Manchester. M13 9PL
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Abstract

Consider a point transformation of the biharmonic equation

namely a coordinate transformation

together with a change of dependent variable given by

for some multiplier F(ξ, η).

MSC classification

Secondary: 35J30: Higher-order elliptic equations
Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 118 - 130
Copyright
Copyright © University College London 1985

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References

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