On the eigenvalues of a polyharmonic matrix operator near diffraction planes

Autor:	Setenay Akduman, Sedef Karakiliç
Rok vydání:	2021
Předmět:	Multiplication (music) Physics Diffraction Matrix (mathematics) Operator (computer programming) Diagonal Scalar (mathematics) Lattice (group) Eigenvalues and eigenvectors Mathematical physics
Zdroj:	SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020).
ISSN:	0094-243X
DOI:	10.1063/5.0040407
Popis:	In this study, we consider the d-dimensional polyharmonic matrix operator H(l,V)u=(−Δ)lu+V(x)u, where (−Δ)l is a diagonal s×s matrix, whose diagonal elements are the scalar polyharmonic operators, V is the operator of multiplication by a symmetric s×s matrix, V(x) is periodic with respect to an arbitrary lattice and s ≥ 2, x=(x1,x2,⋯,xd)∈ℝd, d≥2,12
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f9e46261bd314f16f8db512bb9fbed3 https://doi.org/10.1063/5.0040407 Zobrazit plný text záznamu