Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616063 | Journal of Mathematical Analysis and Applications | 2014 | 13 Pages |
Abstract
In this paper we look at models of nonlocal (or anomalous) diffusion which are defined on subsets of the lattice ϵZnϵZn, for some ϵ>0ϵ>0, and ask if they can be approximated by continuum models. The answer is given by an operator semigroup convergence theorem. As an application, we establish hypotheses under which a discrete model of nonlocal diffusion satisfying an absorbing boundary condition has a continuum limit which is conservative.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Stephen Thompson,