Research output: Contribution to journal › Article › peer-review
For any small ε > 0, a two-dimensional elastic waveguide is constructed such that λe = ε4 is the only eigenvalue in the vicinity of the lower bound λ† = 0 of the continuous spectrum. This result is rather unexpected, because an acoustic waveguide (the Neumann problem for the Laplace operator) with an arbitrary small localized perturbation cannot support a trapped mode at a low frequency.
Original language | English |
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Pages (from-to) | 31-44 |
Number of pages | 14 |
Journal | Functional Analysis and its Applications |
Volume | 54 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2020 |
ID: 62107745