Heat equation and Poisson equation in matrix geometry
Quantum Algebra
2013-11-26 v1 Differential Geometry
Operator Algebras
Abstract
In this paper, we study the Poisson equation and heat equation in a model matrix geometry . Our main results are about the Poisson equation and global behavior of the heat equation on . We can show that if is the initial positive definite matrix in , then exists for all time and is positive definite too. We can also show the entropy stability of the solutions to the heat equation.
Keywords
Cite
@article{arxiv.1311.6341,
title = {Heat equation and Poisson equation in matrix geometry},
author = {Jiaojiao Li},
journal= {arXiv preprint arXiv:1311.6341},
year = {2013}
}