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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 951-972 |
| Number of pages | 22 |
| Journal | Analysis and PDE |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Boundary layer
- Fully nonlinear elliptic PDE
- Homogenization
- Neumann boundary data
- Viscosity solutions
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics
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