Supercaloric functions for the porous medium equation

Juha Kinnunen; Pekka Lehtelä; Peter Lindqvist; Mikko Parviainen

doi:10.1007/s00028-018-0474-y

Supercaloric functions for the porous medium equation

Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist, Mikko Parviainen

Research output: Contribution to journal › Article › Scientific › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	249–270
Number of pages	21
Journal	Journal of Evolution Equations
Volume	19
Issue number	1
Early online date	2018
DOIs	https://doi.org/10.1007/s00028-018-0474-y
Publication status	Published - Mar 2019
MoE publication type	A1 Journal article-refereed

Keywords

Porous medium equation
Supercaloric functions
Barenblatt solution
Friendly giant

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10.1007/s00028-018-0474-y

https://arxiv.org/pdf/1801.04121.pdf

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title = "Supercaloric functions for the porous medium equation",

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. ",

keywords = "Porous medium equation, Supercaloric functions, Barenblatt solution, Friendly giant",

author = "Juha Kinnunen and Pekka Lehtel{\"a} and Peter Lindqvist and Mikko Parviainen",

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AU - Kinnunen, Juha

AU - Lehtelä, Pekka

AU - Lindqvist, Peter

AU - Parviainen, Mikko

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Y1 - 2019/3

N2 - 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.

AB - 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.

KW - Porous medium equation

KW - Supercaloric functions

KW - Barenblatt solution

KW - Friendly giant

U2 - 10.1007/s00028-018-0474-y

DO - 10.1007/s00028-018-0474-y

M3 - Article

SN - 1424-3199

VL - 19

SP - 249

EP - 270

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 1

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Supercaloric functions for the porous medium equation

Abstract

Keywords

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