Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms
Probability
2017-03-14 v8 Analysis of PDEs
Abstract
In the context of a metric measure Dirichlet space satisfying volume doubling and Poincar\'e inequality, we prove the parabolic Harnack inequality for weak solutions of the heat equation associated with local nonsymmetric bilinear forms. In particular, we show that these weak solutions are locally bounded.
Cite
@article{arxiv.1205.6493,
title = {Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms},
author = {Janna Lierl and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:1205.6493},
year = {2017}
}