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) |
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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