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arXiv 2018-01-12 0 views

Supercaloric functions for the porous medium equation

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

Original · EN

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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