Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2005.07.01

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).

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References

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