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Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications

Lions, Pierre-Louis; Souganidis, Panagiotis E. (2005), Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications, Annales de l'Institut Henri Poincaré. Analyse non linéaire, 22, 5, p. 667-677. http://dx.doi.org/10.1016/j.anihpc.2004.10.009

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Type
Article accepté pour publication ou publié
Date
2005
Journal name
Annales de l'Institut Henri Poincaré. Analyse non linéaire
Volume
22
Number
5
Publisher
Elsevier
Pages
667-677
Publication identifier
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Author(s)
Lions, Pierre-Louis
Souganidis, Panagiotis E.
Abstract (EN)
We study the homogenization of fully nonlinear degenerate second-order pde, with “ellipticity” of the same order as the space oscillations, in periodic and almost periodic. As a special case we consider the class of quasi-linear, degenerate elliptic pde. The results apply to level sets equations describing the evolution of fronts with prescribed normal velocity. We also discuss an application about the averaged properties of interfacial motions in periodic and almost periodic environments.
Subjects / Keywords
almost periodic environments; periodic environments; interfacial motions; fully nonlinear degenerate second-order PDE