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Rough isometry and energy finite solutions of the Schrödinger operator on graphs

Title
Rough isometry and energy finite solutions of the Schrödinger operator on graphs
Authors
Lee Y.H.
Ewha Authors
이용하
SCOPUS Author ID
이용하scopus
Issue Date
2003
Journal Title
Discrete Mathematics
ISSN
0012-365XJCR Link
Citation
vol. 263, no. 1-3, pp. 167 - 177
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We prove that the dimension of the space of energy finite bounded solutions of the Schrödinger operator is invariant under rough isometries between graphs of bounded degree. This result generalizes those of Soardi and of the present author. © 2002 Elsevier Science B.V. All rights reserved.
DOI
10.1016/S0012-365X(02)00576-9
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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