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arXiv · 1606.01233

Global solutions to the Porous medium equations on singular manifolds

Yuanzhen Shao
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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.

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Yuanzhen Shao. 2016-06-03. Global solutions to the Porous medium equations on singular manifolds. https://arxiv.org/abs/1606.01233

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