Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

6 Issues per year


IMPACT FACTOR 2017: 0.695
5-year IMPACT FACTOR: 0.750

CiteScore 2017: 0.65

SCImago Journal Rank (SJR) 2017: 0.966
Source Normalized Impact per Paper (SNIP) 2017: 0.889

Mathematical Citation Quotient (MCQ) 2016: 0.75

Online
ISSN
1435-5337
See all formats and pricing
More options …
Volume 23, Issue 6

Issues

Regularity in parabolic Dini continuous systems

Paolo Baroni
Published Online: 2010-06-27 | DOI: https://doi.org/10.1515/form.2011.049

Abstract

We consider a weak solution to the non-linear, parabolic systems of the form

ut – div A(x, t, u, Du) = 0,

where the vector field A satisfies a Dini-type continuity condition with respect to the variables (x, t, u), and we prove a partial regularity result for such a solution. Moreover, we give an estimate of the size of the singular set of a solution in terms of a generalized parabolic Hausdorff measure associated to an appropriate modulus of continuity naturally associated to the coefficients of the system.

Keywords.: Partial regularity; parabolic systems; Dini continuity

About the article

Received: 2009-10-13

Revised: 2010-02-21

Published Online: 2010-06-27

Published in Print: 2011-11-01


Citation Information: Forum Mathematicum, Volume 23, Issue 6, Pages 1281–1322, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/form.2011.049.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Tuomo Kuusi and Giuseppe Mingione
Journal de Mathématiques Pures et Appliquées, 2012, Volume 98, Number 4, Page 390
[2]

Comments (0)

Please log in or register to comment.
Log in