The discreteness of the spectrum of the Schrodinger operator equation and some properties of the s-numbers of the inverse Schrodinger operator

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Wiley

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this article, we investigate the discreteness and some other properties of the spectrum for the Schrodinger operator L defined by the formula Ly=-d(2)y/dx(2)+A(A+I)/x(2)y+Q(x)xy on the space L-2(H, [0, infinity)), where H is a Hilbert space. For the first time, an estimate is obtained for sum of the s-numbers of the inverse Schrodinger operator. The obtained results were applied to the Laplace's equation in an angular region.

Açıklama

Anahtar Kelimeler

discreteness, Hilbert space, operator differential equations, spectrum

Kaynak

Mathematical Methods in the Applied Sciences

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

42

Sayı

7

Künye