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

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

33 Citations (Scopus)

221 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
Number of pages	31
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

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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

Cite this

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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",

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AU - Bögelein, Verena

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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

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M3 - Article

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SN - 2191-9496

VL - 8

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JO - Advances in Nonlinear Analysis

JF - Advances in Nonlinear Analysis

IS - 1

ER -

The higher integrability of weak solutions of porous medium systems

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Parabolic flows with variational methods

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The higher integrability of weak solutions of porous medium systems

Abstract

Keywords

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Parabolic flows with variational methods

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