A Liouville property and its application to the Laplacian of an infinite graph
J Masamune - Contemporary Mathematics, 2009 - books.google.com
… In the present article we will investigate a Liouville type property of an infinite graph G ,
which implies Lp -Liouville property of G , and apply the similar method to deduce the
essential self-adjointness of the (unbounded) Laplacian∆ of G . While the Liouville property
of bounded or Dirichlet-bounded subharmonic functions on graphs has been studied
extensively (see eg [ CW ],[ RSV ],[ RSV1 ],[ W ] and the references within), as far as the
author is concerned, there is no results for Lp -Liouville property, nor for the essential self-adjointness …
which implies Lp -Liouville property of G , and apply the similar method to deduce the
essential self-adjointness of the (unbounded) Laplacian∆ of G . While the Liouville property
of bounded or Dirichlet-bounded subharmonic functions on graphs has been studied
extensively (see eg [ CW ],[ RSV ],[ RSV1 ],[ W ] and the references within), as far as the
author is concerned, there is no results for Lp -Liouville property, nor for the essential self-adjointness …
[引用][C] A Liouville property and its application to the Laplacian of an infinite graph, Spectral analysis in geometry and number theory, 103–115
J Masamune - Contemp. Math
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