Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water
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Publication:5966938
DOI10.1007/BF01789259zbMath0359.35058MaRDI QIDQ5966938
Publication date: 1976
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
General topics in linear spectral theory for PDEs (35P05) Wave equation (35L05) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Hydro- and aero-acoustics (76Q05)
Related Items (11)
Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium) ⋮ Generalized Fourier transform and its application to the volume integral equation for elastic wave propagation in a half space ⋮ Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains ⋮ Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ Approximation by finite differences of the propagation of acoustic waves in stratified media ⋮ Wave propagation in random media: beyond Gaussian statistics ⋮ Spectral properties of operators arising in acoustic wave propagation in an ocean of variable depth ⋮ Wave Propagation in Randomly Perturbed Weakly Coupled Waveguides ⋮ Acoustic wave propagation in anisotropic media with applications to piezoelectric materials ⋮ Asymptotic completeness for acoustic propagators in perturbed stratified media ⋮ On the uniqueness of \(L^ 2\)-solutions in half-space of certain differential equations
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