Local Hölder continuity of weak solutions to a diffusive shallow medium equation

Thomas Singer; Matias Vestberg

doi:10.1016/j.na.2019.03.013

Local Hölder continuity of weak solutions to a diffusive shallow medium equation

Thomas Singer, Matias Vestberg^*

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

2 Citations (Scopus)

Abstract

We show the local Hölder continuity of bounded weak solutions to a doubly nonlinear parabolic equation used in models for diffusion of shallow media.

Original language	English
Pages (from-to)	306-335
Number of pages	30
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	185
DOIs	https://doi.org/10.1016/j.na.2019.03.013
Publication status	Published - 1 Aug 2019
MoE publication type	A1 Journal article-refereed

Keywords

Doubly nonlinear parabolic equations
Local Hölder continuity

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10.1016/j.na.2019.03.013

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title = "Local H{\"o}lder continuity of weak solutions to a diffusive shallow medium equation",

abstract = "We show the local H{\"o}lder continuity of bounded weak solutions to a doubly nonlinear parabolic equation used in models for diffusion of shallow media.",

keywords = "Doubly nonlinear parabolic equations, Local H{\"o}lder continuity",

author = "Thomas Singer and Matias Vestberg",

year = "2019",

month = aug,

day = "1",

doi = "10.1016/j.na.2019.03.013",

language = "English",

volume = "185",

pages = "306--335",

journal = "NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS",

issn = "0362-546X",

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T1 - Local Hölder continuity of weak solutions to a diffusive shallow medium equation

AU - Singer, Thomas

AU - Vestberg, Matias

PY - 2019/8/1

Y1 - 2019/8/1

N2 - We show the local Hölder continuity of bounded weak solutions to a doubly nonlinear parabolic equation used in models for diffusion of shallow media.

AB - We show the local Hölder continuity of bounded weak solutions to a doubly nonlinear parabolic equation used in models for diffusion of shallow media.

KW - Doubly nonlinear parabolic equations

KW - Local Hölder continuity

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U2 - 10.1016/j.na.2019.03.013

DO - 10.1016/j.na.2019.03.013

M3 - Article

AN - SCOPUS:85063614605

VL - 185

SP - 306

EP - 335

JO - NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS

JF - NONLINEAR ANALYSIS: THEORY METHODS AND APPLICATIONS

SN - 0362-546X

ER -

Local Hölder continuity of weak solutions to a diffusive shallow medium equation

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Keywords

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