Homogenization on arbitrary manifolds

We describe a setting for homogenization of convex hamiltonians on abelian covers of any compact manifold. In this context we also provide a simple variational proof of standard homogenization results.

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 52; no. 1-2; pp. 237 - 252
Main Authors Contreras, Gonzalo, Iturriaga, Renato, Siconolfi, Antonio
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2015
Springer Nature B.V
Springer Verlag
Subjects
Analysis
Calculus of variations
Calculus of Variations and Optimal Control; Optimization
Control
Dynamical Systems
Homogenization
Homogenizing
Manifolds
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Proving
Systems Theory
Theoretical
Viscosity
35F21
37J50
49L25
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Summary:We describe a setting for homogenization of convex hamiltonians on abelian covers of any compact manifold. In this context we also provide a simple variational proof of standard homogenization results.
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ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-014-0710-4