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题目:The Negative Spectrum of Schrodinger Operators with Spherical Fractal Potentials
刊物: International Journal of Applied Mathematics and Statistics

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Accession number:20140417238579

Title: The negative spectrum of Schrödinger operators with spherical fractal potentials

Authors:
Wu, Bo1 Email author bowu8800@gmail.com; Li, Yin2 Email author lyjerry7788@gmail.com
    Author affiliation: 1 Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, China
    2 School of Mathematics and Statistics, Nanjing Audit University, Nanjing 211815, China
Source title:
International Journal of Applied Mathematics and Statistics
Abbreviated source title:
Int. J. Appl. Math. Stat.
Volume:
49
Issue:
19
Issue date:
2013
Publication year:
2013
Pages:
42-47
Language:
English
ISSN:
09731377
E-ISSN:
09737545
Document type:
Journal article (JA)
Publisher:
CESER Publications, Post Box No. 113, Roorkee, 247667, India
Abstract:
In this paper, we discuss the problem of the negative spectrum for the Schro¨dinger operators associated with spherical fractal potentials acting in the anisotropic Sobolev space. The negative spectrum for the Schro¨dinger operators has been studied by Triebel. We study operators with spherical fractal potentials which are a kind of nonisotropic fractal potentials and give the better estimates. © 2013 by CESER Publications.
Number of references:
13
Main heading:
Fractals
Controlled terms:
Anisotropy  -  Eigenvalues and eigenfunctions  -  Spheres
Uncontrolled terms:
Anisotropic function spaces  -  Eigenvalues
Classification code:
631 Fluid Flow -  921 Mathematics -  921.1 Algebra -  931.2 Physical Properties of Gases, Liquids and Solids
Database:
Compendex
    Compilation and indexing terms, © 2013 Elsevier Inc.