Global solutions to the Porous medium equations on singular manifolds
Analysis of PDEs
2016-08-24 v2
Abstract
The main objective of the present work is to discuss the global existence and stability of solutions to the porous medium equations on Riemannian manifolds with singularities. Several different types of solutions are considered. Our proof is based on a Poincare inequality on function space defined on manifolds with singularities.
Keywords
Cite
@article{arxiv.1606.01233,
title = {Global solutions to the Porous medium equations on singular manifolds},
author = {Yuanzhen Shao},
journal= {arXiv preprint arXiv:1606.01233},
year = {2016}
}