Perron's method for the porous medium equation

Juha Kinnunen; Teemu Lukkari; Peter Lindqvist

doi:10.4171/JEMS/658

Perron's method for the porous medium equation

Juha Kinnunen, Teemu Lukkari, Peter Lindqvist

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

13 Sitaatiot (Scopus)

Abstrakti

This work extends Perron’s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.

Alkuperäiskieli	Englanti
Sivut	2953-2967
Julkaisu	Journal of the European Mathematical Society
Vuosikerta	18
DOI - pysyväislinkit	https://doi.org/10.4171/JEMS/658
Tila	Julkaistu - 2016
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.4171/JEMS/658

Muut tiedostot ja linkit

https://math.aalto.fi/~jkkinnun/papers/kll_perrons.pdf

Siteeraa tätä

@article{5d912ac4ef834c74b450c0b432695626,

title = "Perron's method for the porous medium equation",

abstract = "This work extends Perron{\textquoteright}s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.",

keywords = "Perron method, Porous medium equation, comparison principle, obstacles",

author = "Juha Kinnunen and Teemu Lukkari and Peter Lindqvist",

year = "2016",

doi = "10.4171/JEMS/658",

language = "English",

volume = "18",

pages = "2953--2967",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

publisher = "EMS Press",

}

TY - JOUR

T1 - Perron's method for the porous medium equation

AU - Kinnunen, Juha

AU - Lukkari, Teemu

AU - Lindqvist, Peter

PY - 2016

Y1 - 2016

N2 - This work extends Perron’s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.

AB - This work extends Perron’s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.

KW - Perron method

KW - Porous medium equation

KW - comparison principle

KW - obstacles

UR - https://math.aalto.fi/~jkkinnun/papers/kll_perrons.pdf

U2 - 10.4171/JEMS/658

DO - 10.4171/JEMS/658

M3 - Article

SN - 1435-9855

VL - 18

SP - 2953

EP - 2967

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

ER -

Perron's method for the porous medium equation

Abstrakti

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Siteeraa tätä