|
|||||
 |
|
|
|
|
Algebraic error
estimates for the stochastic homogenization of uniformly
parabolic equations
Jessica Lin and Charles K. Smart |
|
Vol. 8 (2015), No. 6, 1497–1539
|
|
DOI: 10.2140/apde.2015.8.1497
|
Abstract |
|
We establish an algebraic error estimate for the stochastic homogenization of fully nonlinear, uniformly parabolic equations in stationary ergodic spatiotemporal media. The approach is similar to that of Armstrong and Smart in the study of quantitative stochastic homogenization of uniformly elliptic equations. |
Keywords
quantitative stochastic homogenization, error estimates,
parabolic regularity theory
|
Mathematical Subject Classification 2010
Primary: 35K55
Secondary: 35K10
|
Milestones
Received: 22 January 2015
Revised: 7 May 2015
Accepted: 24 June 2015
Published: 5 September 2015
|
Authors |
| Jessica Lin | |
| Department of Mathematics University of Wisconsin-Madison 480 Lincoln Drive Madison, WI 53706 United States |
|
| Charles K. Smart | |
| Department of Mathematics Cornell University 401 Malott Hall Ithaca, NY 14853 United States |
|
|
