A comparison theorem for solutions of degenerate parabolic equations on manifolds

We compare solutions of a class of degenerate parabolic equations on a Riemannian manifold $M$ with solutions of the equation on a model manifold. The class of equations under consideration contains both the parabolic $p$-Laplace equation and the porous medium equation. We prove that, under curvatur...

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Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2008-08, Vol.138 (4), p.755-767
1. Verfasser:	Dekkers, S. A. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Mathematics Theorems Topological manifolds
Online-Zugang:	Volltext
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