Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators
Keyword(s):
A variational characterization for the shift of eigenvalues caused by a general type of perturbation is derived for second order self-adjoint elliptic differential operators. This result allows the direct extension of asymptotic formulae from simple eigenvalues to repeated ones. Some examples of particular interest are presented theoretically and numerically for the Laplacian operator for the following domain perturbations: excision of a small hole, local change of conductivity, small boundary deformation.
1998 ◽
Vol 58
(2)
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pp. 213-221
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1994 ◽
Vol 74
(1)
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pp. 107-128
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1999 ◽
Vol 6
(2)
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pp. 207-225
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2018 ◽
Vol 468
(2)
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pp. 839-864
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2021 ◽
Vol 86
(2)
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pp. 101-106
Keyword(s):
1991 ◽
Vol 42
(6)
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pp. 848-863
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