Point-like perturbation for Lamé operator. Issue 2 (1st February 2020)

• Record Type: Journal Article
• Authors: Blinova, I. V.; Boitsev, A. A.; Popov, I. Y.; Froehly, A.; Neidhardt, H.
• Is Part Of: Complex variables and elliptic equations. Volume 65:Issue 2(2020)
• Page Start: 256
• Page End: 271
• Publication Date: 2020-02-01
• Subjects: A. Pankov; Self-adjoint extension -- scattering; 47B38 -- 47E05; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2019.1579207
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: A model of scattering of elastic wave by point-like scatterers on the plane is suggested. Point-like perturbation is constructed for the two-dimensional Lamé operator in the framework of the theory of self-adjoint extensions of symmetric operators. The eigenvalues of the model operator are found. The scattering matrix is obtained. Examples of scattering diagrams for several scatterers are presented.