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- W2023285061 abstract "It is well known that the main difficulty in solving eigenvalue problems under shape deformation relates to the continuation of multiple eigenvalues of the unperturbed configuration. These eigenvalues may evolve, under shape deformation, as separated, distinct eigenvalues. In this paper, we address the integral equation method in the evaluation of eigenfunctions and the corresponding eigenvalues of the two-dimensional Laplacian operator under boundary variations of the domain. Using surface potentials, we show that the eigenvalues are the characteristic values of meromorphic operator-valued functions." @default.
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- W2023285061 date "2005-01-01" @default.
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- W2023285061 title "The integral equation methods for the perturbed Helmholtz eigenvalue problems" @default.
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- W2023285061 doi "https://doi.org/10.1155/ijmms.2005.1201" @default.
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