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arXiv · 1801.04121

Supercaloric functions for the porous medium equation

Juha Kinnunen·Pekka Lehtelä·Peter Lindqvist·Mikko Parviainen
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Abstract

In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not. This criterion and its consequences are discussed.

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Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist, Mikko Parviainen. 2018-01-12. Supercaloric functions for the porous medium equation. https://arxiv.org/abs/1801.04121

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