Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
Da Lio, Francesca; Lions, Pierre-Louis; Barles, Guy; Souganidis, Panagiotis E. (2008), Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions, Indiana University Mathematics Journal, 57, p. 2355-2376
TypeArticle accepté pour publication ou publié
Journal nameIndiana University Mathematics Journal
MetadataShow full item record
Abstract (EN)We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in “singular problems” for which it is necessary to determine both the homogenized equation and boundary conditions. We provide new results for fully nonlinear equations and boundary conditions. Our results extend previous work of Tanaka in the linear, periodic setting in half-spaces parallel to the axes of the periodicity, and of Arisawa in a rather restrictive nonlinear periodic framework. The key step in our analysis is the study of associated ergodic problems in domains with similar structure.
Subjects / KeywordsPDEs; fully nonlinear equations
Showing items related by title and author.