A. R. Aliev, E. H. Eyvazov, “Description of the domain of definition of the electromagnetic Schrödinger operator in divergence form”, Eurasian Math. J., 2014, Volume 5, Number 4,Pages <nobr>134

This article is cited in 2 papers

Short communications

Description of the domain of definition of the electromagnetic Schrödinger operator in divergence form

A. R. Aliev^ab, E. H. Eyvazov^a

^a Department of Applied Mathematics, Baku State University 23 Z. Khalilov St., AZ 1148 Baku, Azerbaijan
^b Department of Functional Analysis, Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, 9 B. Vahabzadeh St., AZ 1141 Baku, Azerbaijan

Abstract: In this work, conditions are found on the coefficients of the electromagnetic Schrödinger operator in divergence form that provide the coincidence of the domain of definition of the closure of the given operator of the second order in the Sobolev space in $n$-dimensional case.

Keywords and phrases: electromagnetic Schrödinger operator, essential self-adjointness, Sobolev space.

MSC: 35J10

Received: 19.03.2014

Language: English