Stochastic homogenization of viscous Hamilton-Jacobi equations and applications
Armstrong, Scott N.; Tran, Hung V. (2014), Stochastic homogenization of viscous Hamilton-Jacobi equations and applications, Analysis & PDE, 7, 8, p. 1969-2007. 10.2140/apde.2014.7.1969
TypeArticle accepté pour publication ou publié
External document linkhttps://arxiv.org/abs/1310.1749v1
Journal nameAnalysis & PDE
Mathematical Sciences Publishers
MetadataShow full item record
Abstract (EN)We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the "metric problem"). This permits us to give qualitative homogenization results under very general hypotheses: in particular, we treat non-uniformly coercive Hamiltonians which satisfy instead a weaker averaging condition. As an application, we derive a general quenched large deviations principle for diffusions in random environments and with absorbing random potentials.
Subjects / KeywordsHamilton-Jacobi equation; stochastic homogenization; diffusion in random environment; quenched large deviations principle; weak coercivity; degenerate diffusion
Showing items related by title and author.
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. (2014) Article accepté pour publication ou publié