Lower bounds on the interaction between cavities connected by a thin tube
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Publication:1325155
DOI10.1215/S0012-7094-94-07306-7zbMath0802.35109OpenAlexW1571049734MaRDI QIDQ1325155
André Martinez, Russell M. Brown, Peter D. Hislop
Publication date: 24 May 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07306-7
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (9)
Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains ⋮ Nonlocal quadratic forms with visibility constraint ⋮ Excited resonance widths for Helmholtz resonators with straight neck ⋮ Singularity of eigenfunctions at the junction of shrinking tubes. I ⋮ Singularity of eigenfunctions at the junction of shrinking tubes. Part II ⋮ On the sharp effect of attaching a thin handle on the spectral rate of convergence ⋮ Tunneling between corners for Robin Laplacians ⋮ On Spectral Minimal Partitions: the Case of the Sphere ⋮ Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size
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