Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I
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Publication:5562927
DOI10.1090/S0002-9947-1969-0234140-4zbMath0174.41703OpenAlexW4239530370MaRDI QIDQ5562927
Publication date: 1969
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-1969-0234140-4
Related Items (19)
Eigenfunction expansions and similarity for certain nonselfadjoint operators ⋮ Mathematical scattering theory in quantum and acoustic waveguides ⋮ Spectra of semi-infinite quantum graph tubes ⋮ Scattering properties for a pair of Schrödinger type operators on cylindrical domains ⋮ Scattering theory for elliptic differential operators in unbounded domains. I ⋮ Local Decay of Solutions of Conservative First Order Hyperbolic Systems in Odd Dimensional Space ⋮ Examples of embedded eigenvalues for problems in acoustic waveguides ⋮ The singularities of the $\mathcal{S}$-matrix and Green's function associated with perturbations of $ - \Delta$ acting in a cylinder ⋮ Spectral analysis of the Laplacian in domains with cylinders ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends ⋮ Steady-state wave propagation in simple and compound acoustic waveguides ⋮ Spectral analysis for perturbed Laplace operators in cylindrical domains ⋮ A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent ⋮ Analytic perturbations of the operator \(-\Delta\) ⋮ Perturbation of non-selfadjoint operators. I ⋮ Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides ⋮ Optimal limiting absorption principle for a Schrödinger type operator on a Lipschitz cylinder ⋮ The solution of exterior interface problems using a variational method with Lagrange multipliers ⋮ The S-Matrix and Acoustic Signal Structure in Simple and Compounds Waveguides
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