Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
65
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Individual homogenization of nonlinear parabolic operators

, &
Pages 1433-1457 | Received 28 Aug 2006, Accepted 05 Oct 2006, Published online: 11 Dec 2006
 

Abstract

In this article, we prove an individual homogenization result for a class of almost periodic nonlinear parabolic operators. The spatial and temporal heterogeneities are almost periodic functions in the sense of Besicovitch. The latter allows discontinuities and is suitable for many applications. First, we derive stability and comparison estimates for sequences of G-convergent nonlinear parabolic operators. Furthermore, using these estimates, the individual homogenization result is shown.

Acknowledgement

The research of the first author is partially supported by NSF grants DMS-0327713, EIA-0218229 and DOE grant DE-FG02-05ER25669.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.