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A criterion for the existence of biharmonic Green's functions

Published online by Cambridge University Press:  09 April 2009

Leo Sario
Leo Sario
Affiliation:
521 Georgina Avenue Santa Monica California, 90402, U.S.A.
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Abstract

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The biharmonic Green's function of a simply supported plate is generalized to Riemannian manifolds and shown to exist if and only if the harmonic measure of the ideal boundary is square integrable.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 2 , March 1976 , pp. 155 - 165
Copyright
Copyright © Australian Mathematical Society 1976

References

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