|
|||||
 |
|
|
|
|
Homogenization of
Neumann boundary data with fully nonlinear operator
Sunhi Choi, Inwon C. Kim and Ki-Ahm Lee |
|
Vol. 6 (2013), No. 4, 951–972
|
Abstract |
|
In this paper we study periodic homogenization problems for solutions of fully nonlinear PDEs in half-spaces with oscillatory Neumann boundary data. We show the existence and uniqueness of the homogenized Neumann data for a given half-space. Moreover, we show that there exists a continuous extension of the homogenized slope as the normal of the half-space varies over “irrational” directions. |
Keywords
homogenization, boundary layer, fully nonlinear elliptic
PDE, viscosity solutions, Neumann boundary data
|
Mathematical Subject Classification 2010
Primary: 35B27, 35J25, 35J60
|
Milestones
Received: 12 December 2011
Revised: 13 December 2011
Accepted: 1 September 2012
Published: 21 August 2013
|
Authors |
| Sunhi Choi | |
| Department of Mathematics University of Arizona Tucson, AZ 85721 United States |
|
| Inwon C. Kim | |
| Department of Mathematics University of California at Los Angeles Los Angeles, CA 90095 United States |
|
| Ki-Ahm Lee | |
| School of Mathematical
Sciences Seoul National University Seoul 151-747 South Korea |
|
|
