[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2005.20.3.521

GENERALIZED LIOUVILLE PROPERTY FOR SCHRÖDINGER OPERATOR ON GRAPHS

Kim, Seok-Woo (Department of Mathematics Education Konkuk University)
Lee, Yong-Hah (Department of Mathematics Education Ewha Womans University)

Publication Information

Communications of the Korean Mathematical Society / v.20, no.3, 2005 , pp. 521-529 More about this Journal

Abstract

We prove that the dimension of the space of positive (bounded, respectively) solutions for the Schrodinger operator whose potential q is nonnegative on a graph with q-regular ends is equal to the number of ends (q-nonparabolic ends, respectively).

Keywords

Liouville property; Schrodinger operator; q-regular end;

Citations & Related Records

Reference

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