Vol. 305, No. 1, 2020

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 338: 1
Vol. 337: 1  2
Vol. 336: 1+2
Vol. 335: 1  2
Vol. 334: 1  2
Vol. 333: 1  2
Vol. 332: 1  2
Vol. 331: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Remarks on the Hölder-continuity of solutions to parabolic equations with conic singularities

Yuanqi Wang

Vol. 305 (2020), No. 1, 311–328
Abstract

This is a note on work of Ladyzhenskaja et al. (AMS 1968) and of Ferretti and Safonov (2013). Using their work line by line, we prove the Hölder-continuity of solutions to linear parabolic equations of mixed type, assuming the coefficient of t has time-derivative bounded from above. On a Kähler manifold, this Hölder estimate works when the metrics possess conic singularities along a normal crossing divisor.

PDF Access Denied

We have not been able to recognize your IP address 216.73.216.205 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
Hölder estimate, parabolic equations
Mathematical Subject Classification 2010
Primary: 35K10
Milestones
Received: 6 August 2016
Revised: 8 January 2019
Accepted: 6 October 2019
Published: 17 March 2020
Authors
Yuanqi Wang
Department of Mathematics
Stony Brook University
Stony Brook, NY
United States