View : 27 Download: 0

Rough isometry and energy-finite solutions for the Schrodinger operator on Riemannian manifolds

Title
Rough isometry and energy-finite solutions for the Schrodinger operator on Riemannian manifolds
Authors
Kim, SWLee, YH
Ewha Authors
이용하
SCOPUS Author ID
이용하scopus
Issue Date
2003
Journal Title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN
0308-2105JCR Link
Citation
vol. 133, pp. 855 - 873
Publisher
ROYAL SOC EDINBURGH
Indexed
SCI; SCIE; SCOPUS WOS
Abstract
In this paper, we prove that the dimension of the space of bounded energy-finite solutions for the Schrodinger operator is invariant under rough isometries between complete Riemannian manifolds satisfying the local volume condition, the local Poincare inequality and the local Sobolev inequality. We also prove that the dimension of the space of bounded harmonic functions with finite Dirichlet integral is invariant under rough isometries between complete Riemannian manifolds satisfying the same local conditions. These results generalize those of Kanai, Grigor'yan, the second author, and Li and Tam.
DOI
10.1017/S0308210500002717
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE