Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417825 | Journal of Mathematical Analysis and Applications | 2014 | 13 Pages |
Abstract
In classical potential theory, one can solve the Dirichlet problem on unbounded domains such as the upper half plane. These domains have two types of boundary points; the usual finite boundary points and another point at infinity. W. Woess has solved a discrete version of the Dirichlet problem on the ends of graphs analogous to having multiple points at infinity and no finite boundary. Whereas C. Kiselman has solved a similar version of the Dirichlet problem on graphs analogous to bounded domains. In this work, we combine the two ideas to solve a version of the Dirichlet problem on graphs with finitely many ends and boundary points of the Kiselman type.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tony L. Perkins,