Vol. 14, No. 1, 2021

Download this article
Download this article For screen
For printing
Recent Issues

Volume 14
Issue 6, 1671–1976
Issue 5, 1333–1669
Issue 4, 985–1332
Issue 3, 667–984
Issue 2, 323–666
Issue 1, 1–322

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
The Schauder estimate for kinetic integral equations

Cyril Imbert and Luis Silvestre

Vol. 14 (2021), No. 1, 171–204

We establish interior Schauder estimates for kinetic equations with integrodifferential diffusion. We study equations of the form ft + v xf = vf + c, where v is an integrodifferential diffusion operator of order 2s acting in the v-variable. Under suitable ellipticity and Hölder continuity conditions on the kernel of v, we obtain an a priori estimate for f in a properly scaled Hölder space.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address 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:

kinetic integrodifferential equations, Schauder estimates
Mathematical Subject Classification
Primary: 35K70, 35R09
Received: 15 January 2019
Accepted: 7 October 2019
Published: 19 February 2021
Cyril Imbert
CNRS and Instituto de Matemática Pura e Aplicada
Rio de Janeiro
Luis Silvestre
Department of Mathematics
The University of Chicago
Chicago, IL
United States