Sharp regularity for the inhomogeneous porous medium equation

Damião J. Araújo; Anderson F. Maia; José Miguel Urbano

doi:10.1007/s11854-020-0081-z

Sharp regularity for the inhomogeneous porous medium equation

Damião J. Araújo, Anderson F. Maia, José Miguel Urbano

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

9 Scopus citations

Abstract

We show that locally bounded solutions of the inhomogeneous porous medium equation (Formaula preseneted.) m>1 are locally Hölder continuous, with exponent (Formaula preseneted.) where α0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.

Original language	English (US)
Pages (from-to)	395-407
Number of pages	13
Journal	Journal d'Analyse Mathematique
Volume	140
Issue number	2
DOIs	https://doi.org/10.1007/s11854-020-0081-z
State	Published - Mar 1 2020
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

Access to Document

10.1007/s11854-020-0081-z

Cite this

@article{8c9edc1d1b564d41a91d128b0e7cc784,

title = "Sharp regularity for the inhomogeneous porous medium equation",

abstract = "We show that locally bounded solutions of the inhomogeneous porous medium equation (Formaula preseneted.) m>1 are locally H{\"o}lder continuous, with exponent (Formaula preseneted.) where α0 denotes the optimal H{\"o}lder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.",

author = "Ara{\'u}jo, {Dami{\~a}o J.} and Maia, {Anderson F.} and Urbano, {Jos{\'e} Miguel}",

note = "Generated from Scopus record by KAUST IRTS on 2023-02-15",

year = "2020",

month = mar,

day = "1",

doi = "10.1007/s11854-020-0081-z",

language = "English (US)",

volume = "140",

pages = "395--407",

journal = "Journal d'Analyse Mathematique",

issn = "0021-7670",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Sharp regularity for the inhomogeneous porous medium equation

AU - Araújo, Damião J.

AU - Maia, Anderson F.

AU - Urbano, José Miguel

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2020/3/1

Y1 - 2020/3/1

N2 - We show that locally bounded solutions of the inhomogeneous porous medium equation (Formaula preseneted.) m>1 are locally Hölder continuous, with exponent (Formaula preseneted.) where α0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.

AB - We show that locally bounded solutions of the inhomogeneous porous medium equation (Formaula preseneted.) m>1 are locally Hölder continuous, with exponent (Formaula preseneted.) where α0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.

UR - http://link.springer.com/10.1007/s11854-020-0081-z

UR - http://www.scopus.com/inward/record.url?scp=85083796599&partnerID=8YFLogxK

U2 - 10.1007/s11854-020-0081-z

DO - 10.1007/s11854-020-0081-z

M3 - Article

SN - 0021-7670

VL - 140

SP - 395

EP - 407

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

IS - 2

ER -

Sharp regularity for the inhomogeneous porous medium equation

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this