Spectral analysis of the Epstein operator

DOI10.1017/S0308210500010155zbMath0398.35074MaRDI QIDQ4183135

Calvin H. Wilcox, Jean-Claude Guillot

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Spectral TheoryEpstein Operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)

Related Items

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), Trapped rays in cylindrically symmetric media and poles of the analytically continued resolvent, Existence and uniqueness of a rayleigh surface wave propagating along the free boundary of a transversely isotropic elastic half space, Approximation by finite differences of the propagation of acoustic waves in stratified media, Scattering of elastic waves in a perturbed isotropic half space with a free boundary. The limiting absorption principle, Unnamed Item, Propagation estimates for dispersive wave equations: Application to the stratified wave equation

Cites Work

• A Normal Mode Theory of an Underwater Acoustic Duct by Means of Green's Function
• Ray Theory of the General Epstein Profile