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Domain Perturbations of the Biharmonic Operator

Published online by Cambridge University Press:  20 November 2018

C. A. Swanson
C. A. Swanson*
Affiliation:
The University of British Columbia
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Eigenvalue problems for the biharmonic operator (iterated Laplacian) L = ΔΔ will be studied on bounded plane domains. Our purpose is to obtain asymptotic variational formulae for eigenvalues and eigenfunctions under the deformation of removing an ∊-disk and adjoining additional boundary conditions on the new boundary component thereby introduced, valid on a positive interval 0 < ∊ < ∊0. Eigenvalue problems can be considered in connection with each of the following sets of homogeneous boundary conditions.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 1053 - 1063
Copyright
Copyright © Canadian Mathematical Society 1965

References

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