Parabolic theory of the discrete p-Laplace operator
Combinatorics
2018-12-21 v3 Analysis of PDEs
Dynamical Systems
Functional Analysis
Abstract
We study the discrete version of the -Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem. Our approach allows us in turn to obtain interesting information about positivity and comparison principles as well as compatibility with the symmetries of the graph. We conclude briefly discussing the variational properties of a handful of nonlinear generalized Laplacians appearing in different parabolic equations.
Keywords
Cite
@article{arxiv.1207.1996,
title = {Parabolic theory of the discrete p-Laplace operator},
author = {Delio Mugnolo},
journal= {arXiv preprint arXiv:1207.1996},
year = {2018}
}
Comments
35 pages several corrections and enhancements in comparison to the v1