Homogenization of neumann boundary data with fully nonlinear operator

Sunhi Choi, Inwon C. Kim, Ki Ahm Lee

Research output: Contribution to journalArticle

11 Scopus citations

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 languageEnglish (US)
Pages (from-to)951-972
Number of pages22
JournalAnalysis and PDE
Volume6
Issue number4
DOIs
StatePublished - Dec 5 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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