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

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	249–270
Sivumäärä	21
Julkaisu	Journal of Evolution Equations
Vuosikerta	19
Numero	1
Varhainen verkossa julkaisun päivämäärä	2018
DOI - pysyväislinkit	https://doi.org/10.1007/s00028-018-0474-y
Tila	Julkaistu - maalisk. 2019
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1007/s00028-018-0474-y

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

OpenUrl-saatavuus

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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",

year = "2019",

month = mar,

doi = "10.1007/s00028-018-0474-y",

language = "English",

volume = "19",

pages = "249–270",

journal = "Journal of Evolution Equations",

issn = "1424-3199",

publisher = "Birkh{\"a}user",

number = "1",

}

TY - JOUR

T1 - Supercaloric functions for the porous medium equation

AU - Kinnunen, Juha

AU - Lehtelä, Pekka

AU - Lindqvist, Peter

AU - Parviainen, Mikko

PY - 2019/3

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

ER -

Supercaloric functions for the porous medium equation

Abstrakti

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