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

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

9 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 Julkaistu artikkeli, soviteltu

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10.4171/JEMS/658

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Koko teksti

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

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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",

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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

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