The higher integrability of weak solutions of porous medium systems

Verena Bögelein; Frank Duzaar; Riikka Korte; Christoph Scheven

doi:10.1515/anona-2017-0270

The higher integrability of weak solutions of porous medium systems

Verena Bögelein, Frank Duzaar^*, Riikka Korte, Christoph Scheven

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

17 Citations (Scopus)

184 Downloads (Pure)

Abstract

In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

Original language	English
Pages (from-to)	1004–1034
Journal	Advances in Nonlinear Analysis
Volume	8
Issue number	1
Early online date	6 Jun 2018
DOIs	https://doi.org/10.1515/anona-2017-0270
Publication status	Published - Jan 2019
MoE publication type	A1 Journal article-refereed

Keywords

gradient estimates
higher integrability
Porous medium-type systems

Access to Document

10.1515/anona-2017-0270Licence: CC BY

SCI_Korte_The higher integrability of weak solutions of porous medium systemsFinal published version, 1.02 MBLicence: CC BY

Link to publication in Scopus

Fingerprint Dive into the research topics of 'The higher integrability of weak solutions of porous medium systems'. Together they form a unique fingerprint.

1 Active

Parabolic flows with variational methods
Korte, R., Pacchiano, C., Evdoridis, S., Buffa, V., Myyryläinen, K. & Takala, T.
01/09/2017 → 31/08/2021
Project: Academy of Finland: Other research funding

Cite this

@article{5c7cb819395a45c38a233bd7fd4dd9e8,

title = "The higher integrability of weak solutions of porous medium systems",

abstract = "In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.",

keywords = "gradient estimates, higher integrability, Porous medium-type systems",

author = "Verena B{\"o}gelein and Frank Duzaar and Riikka Korte and Christoph Scheven",

year = "2019",

month = jan,

doi = "10.1515/anona-2017-0270",

language = "English",

volume = "8",

pages = "1004–1034",

journal = "Advances in Nonlinear Analysis",

issn = "2191-9496",

publisher = "Walter De Gruyter",

number = "1",

}

TY - JOUR

T1 - The higher integrability of weak solutions of porous medium systems

AU - Bögelein, Verena

AU - Duzaar, Frank

AU - Korte, Riikka

AU - Scheven, Christoph

PY - 2019/1

Y1 - 2019/1

N2 - In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

AB - In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

KW - gradient estimates

KW - higher integrability

KW - Porous medium-type systems

UR - http://www.scopus.com/inward/record.url?scp=85048425350&partnerID=8YFLogxK

U2 - 10.1515/anona-2017-0270

DO - 10.1515/anona-2017-0270

M3 - Article

AN - SCOPUS:85048425350

VL - 8

SP - 1004

EP - 1034

JO - Advances in Nonlinear Analysis

JF - Advances in Nonlinear Analysis

SN - 2191-9496

IS - 1

ER -

The higher integrability of weak solutions of porous medium systems

Abstract

Keywords

Access to Document

Parabolic flows with variational methods

Cite this